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Finding the Fourth Proportional to 10,549.12, 15,823.12 and 3,974.88

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Solution

The fourth proportional to 10,549.12, 15,823.12 and 3,974.88 is: 5,962.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.12 : 15,823.12 = 3,974.88 : x
  2. Step 2: Convert to fraction form
    10,549.12/15,823.12 = 3,974.88/x
  3. Step 3: Cross multiply
    10,549.12x = 15,823.12 × 3,974.88
  4. Step 4: Simplify right side
    10,549.12x = 62,895,003.23
  5. Step 5: Solve for x
    x = 62,895,003.23/10,549.12
  6. Step 6: Final answer
    x = 5,962.11

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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.