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Finding the Fourth Proportional to 10,267.52, 15,401.28 and 5,881.96

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Solution

The fourth proportional to 10,267.52, 15,401.28 and 5,881.96 is: 8,822.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.52 : 15,401.28 = 5,881.96 : x
  2. Step 2: Convert to fraction form
    10,267.52/15,401.28 = 5,881.96/x
  3. Step 3: Cross multiply
    10,267.52x = 15,401.28 × 5,881.96
  4. Step 4: Simplify right side
    10,267.52x = 90,589,712.91
  5. Step 5: Solve for x
    x = 90,589,712.91/10,267.52
  6. Step 6: Final answer
    x = 8,822.94

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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.