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Finding the Fourth Proportional to 7,764,602.40, 11,657,401.20 and 4,930,250.40

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Solution

The fourth proportional to 7,764,602.40, 11,657,401.20 and 4,930,250.40 is: 7,402,041.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764,602.40 : 11,657,401.20 = 4,930,250.40 : x
  2. Step 2: Convert to fraction form
    7,764,602.40/11,657,401.20 = 4,930,250.40/x
  3. Step 3: Cross multiply
    7,764,602.40x = 11,657,401.20 × 4,930,250.40
  4. Step 4: Simplify right side
    7,764,602.40x = 57,473,906,929,260.48
  5. Step 5: Solve for x
    x = 57,473,906,929,260.48/7,764,602.40
  6. Step 6: Final answer
    x = 7,402,041.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.