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Finding the Fourth Proportional to 10,454.76, 15,677.22 and 6,073.44

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Solution

The fourth proportional to 10,454.76, 15,677.22 and 6,073.44 is: 9,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.76 : 15,677.22 = 6,073.44 : x
  2. Step 2: Convert to fraction form
    10,454.76/15,677.22 = 6,073.44/x
  3. Step 3: Cross multiply
    10,454.76x = 15,677.22 × 6,073.44
  4. Step 4: Simplify right side
    10,454.76x = 95,214,655.04
  5. Step 5: Solve for x
    x = 95,214,655.04/10,454.76
  6. Step 6: Final answer
    x = 9,107.30

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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.