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Finding the Fourth Proportional to 10,561.68, 15,841.58 and 3,167.78

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Solution

The fourth proportional to 10,561.68, 15,841.58 and 3,167.78 is: 4,751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.68 : 15,841.58 = 3,167.78 : x
  2. Step 2: Convert to fraction form
    10,561.68/15,841.58 = 3,167.78/x
  3. Step 3: Cross multiply
    10,561.68x = 15,841.58 × 3,167.78
  4. Step 4: Simplify right side
    10,561.68x = 50,182,640.29
  5. Step 5: Solve for x
    x = 50,182,640.29/10,561.68
  6. Step 6: Final answer
    x = 4,751.39

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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.