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Finding the Fourth Proportional to 10,417.24, 14,375.78 and 5,879.62

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Solution

The fourth proportional to 10,417.24, 14,375.78 and 5,879.62 is: 8,113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.24 : 14,375.78 = 5,879.62 : x
  2. Step 2: Convert to fraction form
    10,417.24/14,375.78 = 5,879.62/x
  3. Step 3: Cross multiply
    10,417.24x = 14,375.78 × 5,879.62
  4. Step 4: Simplify right side
    10,417.24x = 84,524,123.60
  5. Step 5: Solve for x
    x = 84,524,123.60/10,417.24
  6. Step 6: Final answer
    x = 8,113.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.