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Finding the Fourth Proportional to 11,681.13, 17,511.88 and 5,437.97

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Solution

The fourth proportional to 11,681.13, 17,511.88 and 5,437.97 is: 8,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.13 : 17,511.88 = 5,437.97 : x
  2. Step 2: Convert to fraction form
    11,681.13/17,511.88 = 5,437.97/x
  3. Step 3: Cross multiply
    11,681.13x = 17,511.88 × 5,437.97
  4. Step 4: Simplify right side
    11,681.13x = 95,229,078.08
  5. Step 5: Solve for x
    x = 95,229,078.08/11,681.13
  6. Step 6: Final answer
    x = 8,152.39

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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.