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Finding the Fourth Proportional to 8,343.50, 11,452.68 and 7,378.13

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Solution

The fourth proportional to 8,343.50, 11,452.68 and 7,378.13 is: 10,127.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.50 : 11,452.68 = 7,378.13 : x
  2. Step 2: Convert to fraction form
    8,343.50/11,452.68 = 7,378.13/x
  3. Step 3: Cross multiply
    8,343.50x = 11,452.68 × 7,378.13
  4. Step 4: Simplify right side
    8,343.50x = 84,499,390.52
  5. Step 5: Solve for x
    x = 84,499,390.52/8,343.50
  6. Step 6: Final answer
    x = 10,127.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.