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Finding the Fourth Proportional to 10,437.41, 15,658.16 and 3,863.65

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Solution

The fourth proportional to 10,437.41, 15,658.16 and 3,863.65 is: 5,796.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.41 : 15,658.16 = 3,863.65 : x
  2. Step 2: Convert to fraction form
    10,437.41/15,658.16 = 3,863.65/x
  3. Step 3: Cross multiply
    10,437.41x = 15,658.16 × 3,863.65
  4. Step 4: Simplify right side
    10,437.41x = 60,497,649.88
  5. Step 5: Solve for x
    x = 60,497,649.88/10,437.41
  6. Step 6: Final answer
    x = 5,796.23

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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.