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Finding the Fourth Proportional to 10,537.98, 15,806.78 and 3,142.47

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Solution

The fourth proportional to 10,537.98, 15,806.78 and 3,142.47 is: 4,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.98 : 15,806.78 = 3,142.47 : x
  2. Step 2: Convert to fraction form
    10,537.98/15,806.78 = 3,142.47/x
  3. Step 3: Cross multiply
    10,537.98x = 15,806.78 × 3,142.47
  4. Step 4: Simplify right side
    10,537.98x = 49,672,331.95
  5. Step 5: Solve for x
    x = 49,672,331.95/10,537.98
  6. Step 6: Final answer
    x = 4,713.65

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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.