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Finding the Fourth Proportional to 11,498.56, 15,864.05 and 7,470.43

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Solution

The fourth proportional to 11,498.56, 15,864.05 and 7,470.43 is: 10,306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.56 : 15,864.05 = 7,470.43 : x
  2. Step 2: Convert to fraction form
    11,498.56/15,864.05 = 7,470.43/x
  3. Step 3: Cross multiply
    11,498.56x = 15,864.05 × 7,470.43
  4. Step 4: Simplify right side
    11,498.56x = 118,511,254.06
  5. Step 5: Solve for x
    x = 118,511,254.06/11,498.56
  6. Step 6: Final answer
    x = 10,306.62

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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.