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Finding the Fourth Proportional to 11,472.10, 15,827.61 and 7,282.78

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Solution

The fourth proportional to 11,472.10, 15,827.61 and 7,282.78 is: 10,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.10 : 15,827.61 = 7,282.78 : x
  2. Step 2: Convert to fraction form
    11,472.10/15,827.61 = 7,282.78/x
  3. Step 3: Cross multiply
    11,472.10x = 15,827.61 × 7,282.78
  4. Step 4: Simplify right side
    11,472.10x = 115,269,001.56
  5. Step 5: Solve for x
    x = 115,269,001.56/11,472.10
  6. Step 6: Final answer
    x = 10,047.77

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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.