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Finding the Fourth Proportional to 7,306.52, 10,965.91 and 3,798.68

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Solution

The fourth proportional to 7,306.52, 10,965.91 and 3,798.68 is: 5,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.52 : 10,965.91 = 3,798.68 : x
  2. Step 2: Convert to fraction form
    7,306.52/10,965.91 = 3,798.68/x
  3. Step 3: Cross multiply
    7,306.52x = 10,965.91 × 3,798.68
  4. Step 4: Simplify right side
    7,306.52x = 41,656,000.92
  5. Step 5: Solve for x
    x = 41,656,000.92/7,306.52
  6. Step 6: Final answer
    x = 5,701.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.