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Finding the Fourth Proportional to 8,565.53, 12,849.15 and 2,325.64

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Solution

The fourth proportional to 8,565.53, 12,849.15 and 2,325.64 is: 3,488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.53 : 12,849.15 = 2,325.64 : x
  2. Step 2: Convert to fraction form
    8,565.53/12,849.15 = 2,325.64/x
  3. Step 3: Cross multiply
    8,565.53x = 12,849.15 × 2,325.64
  4. Step 4: Simplify right side
    8,565.53x = 29,882,529.33
  5. Step 5: Solve for x
    x = 29,882,529.33/8,565.53
  6. Step 6: Final answer
    x = 3,488.70

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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.