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Finding the Fourth Proportional to 8,565.78, 12,849.53 and 2,325.89

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Solution

The fourth proportional to 8,565.78, 12,849.53 and 2,325.89 is: 3,489.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.78 : 12,849.53 = 2,325.89 : x
  2. Step 2: Convert to fraction form
    8,565.78/12,849.53 = 2,325.89/x
  3. Step 3: Cross multiply
    8,565.78x = 12,849.53 × 2,325.89
  4. Step 4: Simplify right side
    8,565.78x = 29,886,593.33
  5. Step 5: Solve for x
    x = 29,886,593.33/8,565.78
  6. Step 6: Final answer
    x = 3,489.07

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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.