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Finding the Fourth Proportional to 8,402.88, 12,625.20 and 5,443.20

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Solution

The fourth proportional to 8,402.88, 12,625.20 and 5,443.20 is: 8,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.88 : 12,625.20 = 5,443.20 : x
  2. Step 2: Convert to fraction form
    8,402.88/12,625.20 = 5,443.20/x
  3. Step 3: Cross multiply
    8,402.88x = 12,625.20 × 5,443.20
  4. Step 4: Simplify right side
    8,402.88x = 68,721,488.64
  5. Step 5: Solve for x
    x = 68,721,488.64/8,402.88
  6. Step 6: Final answer
    x = 8,178.33

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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.