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Finding the Fourth Proportional to 10,339.74, 15,514.73 and 4,099.61

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Solution

The fourth proportional to 10,339.74, 15,514.73 and 4,099.61 is: 6,151.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.74 : 15,514.73 = 4,099.61 : x
  2. Step 2: Convert to fraction form
    10,339.74/15,514.73 = 4,099.61/x
  3. Step 3: Cross multiply
    10,339.74x = 15,514.73 × 4,099.61
  4. Step 4: Simplify right side
    10,339.74x = 63,604,391.29
  5. Step 5: Solve for x
    x = 63,604,391.29/10,339.74
  6. Step 6: Final answer
    x = 6,151.45

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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.