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Finding the Fourth Proportional to 10,752.62, 16,125.87 and 4,177.40

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Solution

The fourth proportional to 10,752.62, 16,125.87 and 4,177.40 is: 6,264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752.62 : 16,125.87 = 4,177.40 : x
  2. Step 2: Convert to fraction form
    10,752.62/16,125.87 = 4,177.40/x
  3. Step 3: Cross multiply
    10,752.62x = 16,125.87 × 4,177.40
  4. Step 4: Simplify right side
    10,752.62x = 67,364,209.34
  5. Step 5: Solve for x
    x = 67,364,209.34/10,752.62
  6. Step 6: Final answer
    x = 6,264.91

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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.