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Finding the Fourth Proportional to 7,421.20, 10,415.60 and 7,421.20

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Solution

The fourth proportional to 7,421.20, 10,415.60 and 7,421.20 is: 10,415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,421.20 : 10,415.60 = 7,421.20 : x
  2. Step 2: Convert to fraction form
    7,421.20/10,415.60 = 7,421.20/x
  3. Step 3: Cross multiply
    7,421.20x = 10,415.60 × 7,421.20
  4. Step 4: Simplify right side
    7,421.20x = 77,296,250.72
  5. Step 5: Solve for x
    x = 77,296,250.72/7,421.20
  6. Step 6: Final answer
    x = 10,415.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.