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Finding the Fourth Proportional to 10,292.52, 15,433.92 and 4,049.04

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Solution

The fourth proportional to 10,292.52, 15,433.92 and 4,049.04 is: 6,071.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.52 : 15,433.92 = 4,049.04 : x
  2. Step 2: Convert to fraction form
    10,292.52/15,433.92 = 4,049.04/x
  3. Step 3: Cross multiply
    10,292.52x = 15,433.92 × 4,049.04
  4. Step 4: Simplify right side
    10,292.52x = 62,492,559.44
  5. Step 5: Solve for x
    x = 62,492,559.44/10,292.52
  6. Step 6: Final answer
    x = 6,071.65

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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.