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Finding the Fourth Proportional to 8,402.38, 12,603.57 and 2,559.04

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Solution

The fourth proportional to 8,402.38, 12,603.57 and 2,559.04 is: 3,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.38 : 12,603.57 = 2,559.04 : x
  2. Step 2: Convert to fraction form
    8,402.38/12,603.57 = 2,559.04/x
  3. Step 3: Cross multiply
    8,402.38x = 12,603.57 × 2,559.04
  4. Step 4: Simplify right side
    8,402.38x = 32,253,008.26
  5. Step 5: Solve for x
    x = 32,253,008.26/8,402.38
  6. Step 6: Final answer
    x = 3,838.56

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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.