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Finding the Fourth Proportional to 7,498.62, 10,348.02 and 4,141.50

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Solution

The fourth proportional to 7,498.62, 10,348.02 and 4,141.50 is: 5,715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.62 : 10,348.02 = 4,141.50 : x
  2. Step 2: Convert to fraction form
    7,498.62/10,348.02 = 4,141.50/x
  3. Step 3: Cross multiply
    7,498.62x = 10,348.02 × 4,141.50
  4. Step 4: Simplify right side
    7,498.62x = 42,856,324.83
  5. Step 5: Solve for x
    x = 42,856,324.83/7,498.62
  6. Step 6: Final answer
    x = 5,715.23

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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.