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Finding the Fourth Proportional to 10,385.80, 15,577.22 and 3,364.90

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Solution

The fourth proportional to 10,385.80, 15,577.22 and 3,364.90 is: 5,046.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.80 : 15,577.22 = 3,364.90 : x
  2. Step 2: Convert to fraction form
    10,385.80/15,577.22 = 3,364.90/x
  3. Step 3: Cross multiply
    10,385.80x = 15,577.22 × 3,364.90
  4. Step 4: Simplify right side
    10,385.80x = 52,415,787.58
  5. Step 5: Solve for x
    x = 52,415,787.58/10,385.80
  6. Step 6: Final answer
    x = 5,046.87

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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.