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Finding the Fourth Proportional to 7,515.91, 10,371.74 and 4,158.62

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Solution

The fourth proportional to 7,515.91, 10,371.74 and 4,158.62 is: 5,738.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,515.91 : 10,371.74 = 4,158.62 : x
  2. Step 2: Convert to fraction form
    7,515.91/10,371.74 = 4,158.62/x
  3. Step 3: Cross multiply
    7,515.91x = 10,371.74 × 4,158.62
  4. Step 4: Simplify right side
    7,515.91x = 43,132,125.40
  5. Step 5: Solve for x
    x = 43,132,125.40/7,515.91
  6. Step 6: Final answer
    x = 5,738.78

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Why These Related Problems?

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