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Finding the Fourth Proportional to 10,517.52, 14,513.69 and 5,737.35

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Solution

The fourth proportional to 10,517.52, 14,513.69 and 5,737.35 is: 7,917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.52 : 14,513.69 = 5,737.35 : x
  2. Step 2: Convert to fraction form
    10,517.52/14,513.69 = 5,737.35/x
  3. Step 3: Cross multiply
    10,517.52x = 14,513.69 × 5,737.35
  4. Step 4: Simplify right side
    10,517.52x = 83,270,119.32
  5. Step 5: Solve for x
    x = 83,270,119.32/10,517.52
  6. Step 6: Final answer
    x = 7,917.28

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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.