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Finding the Fourth Proportional to 10,107.20, 13,947.90 and 5,630.90

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Solution

The fourth proportional to 10,107.20, 13,947.90 and 5,630.90 is: 7,770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.20 : 13,947.90 = 5,630.90 : x
  2. Step 2: Convert to fraction form
    10,107.20/13,947.90 = 5,630.90/x
  3. Step 3: Cross multiply
    10,107.20x = 13,947.90 × 5,630.90
  4. Step 4: Simplify right side
    10,107.20x = 78,539,230.11
  5. Step 5: Solve for x
    x = 78,539,230.11/10,107.20
  6. Step 6: Final answer
    x = 7,770.62

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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.