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Finding the Fourth Proportional to 11,655.47, 17,490.49 and 4,729.97

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Solution

The fourth proportional to 11,655.47, 17,490.49 and 4,729.97 is: 7,097.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.47 : 17,490.49 = 4,729.97 : x
  2. Step 2: Convert to fraction form
    11,655.47/17,490.49 = 4,729.97/x
  3. Step 3: Cross multiply
    11,655.47x = 17,490.49 × 4,729.97
  4. Step 4: Simplify right side
    11,655.47x = 82,729,393.71
  5. Step 5: Solve for x
    x = 82,729,393.71/11,655.47
  6. Step 6: Final answer
    x = 7,097.91

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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.