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Finding the Fourth Proportional to 10,778.48, 16,167.60 and 2,987

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Solution

The fourth proportional to 10,778.48, 16,167.60 and 2,987 is: 4,480.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.48 : 16,167.60 = 2,987 : x
  2. Step 2: Convert to fraction form
    10,778.48/16,167.60 = 2,987/x
  3. Step 3: Cross multiply
    10,778.48x = 16,167.60 × 2,987
  4. Step 4: Simplify right side
    10,778.48x = 48,292,621.20
  5. Step 5: Solve for x
    x = 48,292,621.20/10,778.48
  6. Step 6: Final answer
    x = 4,480.47

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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.