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Finding the Fourth Proportional to 10,214.16, 15,332.04 and 5,023.68

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Solution

The fourth proportional to 10,214.16, 15,332.04 and 5,023.68 is: 7,540.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.16 : 15,332.04 = 5,023.68 : x
  2. Step 2: Convert to fraction form
    10,214.16/15,332.04 = 5,023.68/x
  3. Step 3: Cross multiply
    10,214.16x = 15,332.04 × 5,023.68
  4. Step 4: Simplify right side
    10,214.16x = 77,023,262.71
  5. Step 5: Solve for x
    x = 77,023,262.71/10,214.16
  6. Step 6: Final answer
    x = 7,540.83

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