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Finding the Fourth Proportional to 11,405.72, 15,737.10 and 6,689.09

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Solution

The fourth proportional to 11,405.72, 15,737.10 and 6,689.09 is: 9,229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.72 : 15,737.10 = 6,689.09 : x
  2. Step 2: Convert to fraction form
    11,405.72/15,737.10 = 6,689.09/x
  3. Step 3: Cross multiply
    11,405.72x = 15,737.10 × 6,689.09
  4. Step 4: Simplify right side
    11,405.72x = 105,266,878.24
  5. Step 5: Solve for x
    x = 105,266,878.24/11,405.72
  6. Step 6: Final answer
    x = 9,229.31

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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.