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Finding the Fourth Proportional to 8,402.13, 12,605.02 and 2,558.59

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Solution

The fourth proportional to 8,402.13, 12,605.02 and 2,558.59 is: 3,838.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.13 : 12,605.02 = 2,558.59 : x
  2. Step 2: Convert to fraction form
    8,402.13/12,605.02 = 2,558.59/x
  3. Step 3: Cross multiply
    8,402.13x = 12,605.02 × 2,558.59
  4. Step 4: Simplify right side
    8,402.13x = 32,251,078.12
  5. Step 5: Solve for x
    x = 32,251,078.12/8,402.13
  6. Step 6: Final answer
    x = 3,838.44

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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.