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Finding the Fourth Proportional to 11,463.56, 15,801.43 and 9,036.97

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Solution

The fourth proportional to 11,463.56, 15,801.43 and 9,036.97 is: 12,456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.56 : 15,801.43 = 9,036.97 : x
  2. Step 2: Convert to fraction form
    11,463.56/15,801.43 = 9,036.97/x
  3. Step 3: Cross multiply
    11,463.56x = 15,801.43 × 9,036.97
  4. Step 4: Simplify right side
    11,463.56x = 142,797,056.11
  5. Step 5: Solve for x
    x = 142,797,056.11/11,463.56
  6. Step 6: Final answer
    x = 12,456.60

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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.