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Finding the Fourth Proportional to 10,775.97, 16,154.37 and 4,206.76

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Solution

The fourth proportional to 10,775.97, 16,154.37 and 4,206.76 is: 6,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.97 : 16,154.37 = 4,206.76 : x
  2. Step 2: Convert to fraction form
    10,775.97/16,154.37 = 4,206.76/x
  3. Step 3: Cross multiply
    10,775.97x = 16,154.37 × 4,206.76
  4. Step 4: Simplify right side
    10,775.97x = 67,957,517.16
  5. Step 5: Solve for x
    x = 67,957,517.16/10,775.97
  6. Step 6: Final answer
    x = 6,306.39

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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.