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Finding the Fourth Proportional to 11,585.47, 17,382.56 and 5,348.47

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Solution

The fourth proportional to 11,585.47, 17,382.56 and 5,348.47 is: 8,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.47 : 17,382.56 = 5,348.47 : x
  2. Step 2: Convert to fraction form
    11,585.47/17,382.56 = 5,348.47/x
  3. Step 3: Cross multiply
    11,585.47x = 17,382.56 × 5,348.47
  4. Step 4: Simplify right side
    11,585.47x = 92,970,073.94
  5. Step 5: Solve for x
    x = 92,970,073.94/11,585.47
  6. Step 6: Final answer
    x = 8,024.71

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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.