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Finding the Fourth Proportional to 10,428.62, 15,638.74 and 6,049.15

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Solution

The fourth proportional to 10,428.62, 15,638.74 and 6,049.15 is: 9,071.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.62 : 15,638.74 = 6,049.15 : x
  2. Step 2: Convert to fraction form
    10,428.62/15,638.74 = 6,049.15/x
  3. Step 3: Cross multiply
    10,428.62x = 15,638.74 × 6,049.15
  4. Step 4: Simplify right side
    10,428.62x = 94,601,029.85
  5. Step 5: Solve for x
    x = 94,601,029.85/10,428.62
  6. Step 6: Final answer
    x = 9,071.29

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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.