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Finding the Fourth Proportional to 10,332.78, 14,259.39 and 5,617.14

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Solution

The fourth proportional to 10,332.78, 14,259.39 and 5,617.14 is: 7,751.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332.78 : 14,259.39 = 5,617.14 : x
  2. Step 2: Convert to fraction form
    10,332.78/14,259.39 = 5,617.14/x
  3. Step 3: Cross multiply
    10,332.78x = 14,259.39 × 5,617.14
  4. Step 4: Simplify right side
    10,332.78x = 80,096,989.94
  5. Step 5: Solve for x
    x = 80,096,989.94/10,332.78
  6. Step 6: Final answer
    x = 7,751.74

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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.