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Finding the Fourth Proportional to 10,507.52, 15,747.04 and 5,827.28

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Solution

The fourth proportional to 10,507.52, 15,747.04 and 5,827.28 is: 8,733.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.52 : 15,747.04 = 5,827.28 : x
  2. Step 2: Convert to fraction form
    10,507.52/15,747.04 = 5,827.28/x
  3. Step 3: Cross multiply
    10,507.52x = 15,747.04 × 5,827.28
  4. Step 4: Simplify right side
    10,507.52x = 91,762,411.25
  5. Step 5: Solve for x
    x = 91,762,411.25/10,507.52
  6. Step 6: Final answer
    x = 8,733.02

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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.