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Finding the Fourth Proportional to 10,251.14, 15,380.12 and 3,677.84

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Solution

The fourth proportional to 10,251.14, 15,380.12 and 3,677.84 is: 5,517.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.14 : 15,380.12 = 3,677.84 : x
  2. Step 2: Convert to fraction form
    10,251.14/15,380.12 = 3,677.84/x
  3. Step 3: Cross multiply
    10,251.14x = 15,380.12 × 3,677.84
  4. Step 4: Simplify right side
    10,251.14x = 56,565,610.51
  5. Step 5: Solve for x
    x = 56,565,610.51/10,251.14
  6. Step 6: Final answer
    x = 5,517.98

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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.