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Finding the Fourth Proportional to 10,691.16, 14,753.82 and 5,975.64

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Solution

The fourth proportional to 10,691.16, 14,753.82 and 5,975.64 is: 8,246.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.16 : 14,753.82 = 5,975.64 : x
  2. Step 2: Convert to fraction form
    10,691.16/14,753.82 = 5,975.64/x
  3. Step 3: Cross multiply
    10,691.16x = 14,753.82 × 5,975.64
  4. Step 4: Simplify right side
    10,691.16x = 88,163,516.94
  5. Step 5: Solve for x
    x = 88,163,516.94/10,691.16
  6. Step 6: Final answer
    x = 8,246.39

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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.