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Finding the Fourth Proportional to 10,502.25, 15,753.28 and 4,952.54

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Solution

The fourth proportional to 10,502.25, 15,753.28 and 4,952.54 is: 7,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.25 : 15,753.28 = 4,952.54 : x
  2. Step 2: Convert to fraction form
    10,502.25/15,753.28 = 4,952.54/x
  3. Step 3: Cross multiply
    10,502.25x = 15,753.28 × 4,952.54
  4. Step 4: Simplify right side
    10,502.25x = 78,018,749.33
  5. Step 5: Solve for x
    x = 78,018,749.33/10,502.25
  6. Step 6: Final answer
    x = 7,428.77

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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.