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Finding the Fourth Proportional to 10,257.72, 15,389.18 and 2,862.18

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Solution

The fourth proportional to 10,257.72, 15,389.18 and 2,862.18 is: 4,293.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.72 : 15,389.18 = 2,862.18 : x
  2. Step 2: Convert to fraction form
    10,257.72/15,389.18 = 2,862.18/x
  3. Step 3: Cross multiply
    10,257.72x = 15,389.18 × 2,862.18
  4. Step 4: Simplify right side
    10,257.72x = 44,046,588.90
  5. Step 5: Solve for x
    x = 44,046,588.90/10,257.72
  6. Step 6: Final answer
    x = 4,293.99

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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.