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Finding the Fourth Proportional to 10,086.89, 13,920.25 and 5,549.76

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Solution

The fourth proportional to 10,086.89, 13,920.25 and 5,549.76 is: 7,658.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.89 : 13,920.25 = 5,549.76 : x
  2. Step 2: Convert to fraction form
    10,086.89/13,920.25 = 5,549.76/x
  3. Step 3: Cross multiply
    10,086.89x = 13,920.25 × 5,549.76
  4. Step 4: Simplify right side
    10,086.89x = 77,254,018.89
  5. Step 5: Solve for x
    x = 77,254,018.89/10,086.89
  6. Step 6: Final answer
    x = 7,658.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.