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Finding the Fourth Proportional to 8,617.72, 12,923.14 and 3,689.56

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Solution

The fourth proportional to 8,617.72, 12,923.14 and 3,689.56 is: 5,532.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,617.72 : 12,923.14 = 3,689.56 : x
  2. Step 2: Convert to fraction form
    8,617.72/12,923.14 = 3,689.56/x
  3. Step 3: Cross multiply
    8,617.72x = 12,923.14 × 3,689.56
  4. Step 4: Simplify right side
    8,617.72x = 47,680,700.42
  5. Step 5: Solve for x
    x = 47,680,700.42/8,617.72
  6. Step 6: Final answer
    x = 5,532.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.