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Finding the Fourth Proportional to 7,989.60, 11,023.52 and 4,452

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Solution

The fourth proportional to 7,989.60, 11,023.52 and 4,452 is: 6,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,989.60 : 11,023.52 = 4,452 : x
  2. Step 2: Convert to fraction form
    7,989.60/11,023.52 = 4,452/x
  3. Step 3: Cross multiply
    7,989.60x = 11,023.52 × 4,452
  4. Step 4: Simplify right side
    7,989.60x = 49,076,711.04
  5. Step 5: Solve for x
    x = 49,076,711.04/7,989.60
  6. Step 6: Final answer
    x = 6,142.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.