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Finding the Fourth Proportional to 8,165.68, 11,265.40 and 5,332.14

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Solution

The fourth proportional to 8,165.68, 11,265.40 and 5,332.14 is: 7,356.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.68 : 11,265.40 = 5,332.14 : x
  2. Step 2: Convert to fraction form
    8,165.68/11,265.40 = 5,332.14/x
  3. Step 3: Cross multiply
    8,165.68x = 11,265.40 × 5,332.14
  4. Step 4: Simplify right side
    8,165.68x = 60,068,689.96
  5. Step 5: Solve for x
    x = 60,068,689.96/8,165.68
  6. Step 6: Final answer
    x = 7,356.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.