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Finding the Fourth Proportional to 10,765.32, 16,147.50 and 3,746.90

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Solution

The fourth proportional to 10,765.32, 16,147.50 and 3,746.90 is: 5,620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.32 : 16,147.50 = 3,746.90 : x
  2. Step 2: Convert to fraction form
    10,765.32/16,147.50 = 3,746.90/x
  3. Step 3: Cross multiply
    10,765.32x = 16,147.50 × 3,746.90
  4. Step 4: Simplify right side
    10,765.32x = 60,503,067.75
  5. Step 5: Solve for x
    x = 60,503,067.75/10,765.32
  6. Step 6: Final answer
    x = 5,620.18

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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.