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Finding the Fourth Proportional to 8,438.97, 12,658.46 and 2,595.53

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Solution

The fourth proportional to 8,438.97, 12,658.46 and 2,595.53 is: 3,893.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.97 : 12,658.46 = 2,595.53 : x
  2. Step 2: Convert to fraction form
    8,438.97/12,658.46 = 2,595.53/x
  3. Step 3: Cross multiply
    8,438.97x = 12,658.46 × 2,595.53
  4. Step 4: Simplify right side
    8,438.97x = 32,855,412.68
  5. Step 5: Solve for x
    x = 32,855,412.68/8,438.97
  6. Step 6: Final answer
    x = 3,893.30

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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.