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Finding the Fourth Proportional to 8,402.70, 12,602.50 and 2,478.36

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Solution

The fourth proportional to 8,402.70, 12,602.50 and 2,478.36 is: 3,717.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.70 : 12,602.50 = 2,478.36 : x
  2. Step 2: Convert to fraction form
    8,402.70/12,602.50 = 2,478.36/x
  3. Step 3: Cross multiply
    8,402.70x = 12,602.50 × 2,478.36
  4. Step 4: Simplify right side
    8,402.70x = 31,233,531.90
  5. Step 5: Solve for x
    x = 31,233,531.90/8,402.70
  6. Step 6: Final answer
    x = 3,717.08

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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.