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Finding the Fourth Proportional to 10,038.70, 15,049.68 and 6,339.88

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Solution

The fourth proportional to 10,038.70, 15,049.68 and 6,339.88 is: 9,504.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.70 : 15,049.68 = 6,339.88 : x
  2. Step 2: Convert to fraction form
    10,038.70/15,049.68 = 6,339.88/x
  3. Step 3: Cross multiply
    10,038.70x = 15,049.68 × 6,339.88
  4. Step 4: Simplify right side
    10,038.70x = 95,413,165.24
  5. Step 5: Solve for x
    x = 95,413,165.24/10,038.70
  6. Step 6: Final answer
    x = 9,504.53

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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.