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Finding the Fourth Proportional to 10,766.68, 16,156.26 and 4,526.20

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Solution

The fourth proportional to 10,766.68, 16,156.26 and 4,526.20 is: 6,791.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.68 : 16,156.26 = 4,526.20 : x
  2. Step 2: Convert to fraction form
    10,766.68/16,156.26 = 4,526.20/x
  3. Step 3: Cross multiply
    10,766.68x = 16,156.26 × 4,526.20
  4. Step 4: Simplify right side
    10,766.68x = 73,126,464.01
  5. Step 5: Solve for x
    x = 73,126,464.01/10,766.68
  6. Step 6: Final answer
    x = 6,791.92

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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.