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Finding the Fourth Proportional to 10,086.77, 13,920.07 and 5,549.64

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Solution

The fourth proportional to 10,086.77, 13,920.07 and 5,549.64 is: 7,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.77 : 13,920.07 = 5,549.64 : x
  2. Step 2: Convert to fraction form
    10,086.77/13,920.07 = 5,549.64/x
  3. Step 3: Cross multiply
    10,086.77x = 13,920.07 × 5,549.64
  4. Step 4: Simplify right side
    10,086.77x = 77,251,321.55
  5. Step 5: Solve for x
    x = 77,251,321.55/10,086.77
  6. Step 6: Final answer
    x = 7,658.68

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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.