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Finding the Fourth Proportional to 10,467.57, 15,691.62 and 7,182.21

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Solution

The fourth proportional to 10,467.57, 15,691.62 and 7,182.21 is: 10,766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.57 : 15,691.62 = 7,182.21 : x
  2. Step 2: Convert to fraction form
    10,467.57/15,691.62 = 7,182.21/x
  3. Step 3: Cross multiply
    10,467.57x = 15,691.62 × 7,182.21
  4. Step 4: Simplify right side
    10,467.57x = 112,700,510.08
  5. Step 5: Solve for x
    x = 112,700,510.08/10,467.57
  6. Step 6: Final answer
    x = 10,766.64

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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.