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Finding the Fourth Proportional to 8,068.80, 11,136.24 and 7,541.76

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Solution

The fourth proportional to 8,068.80, 11,136.24 and 7,541.76 is: 10,408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,068.80 : 11,136.24 = 7,541.76 : x
  2. Step 2: Convert to fraction form
    8,068.80/11,136.24 = 7,541.76/x
  3. Step 3: Cross multiply
    8,068.80x = 11,136.24 × 7,541.76
  4. Step 4: Simplify right side
    8,068.80x = 83,986,849.38
  5. Step 5: Solve for x
    x = 83,986,849.38/8,068.80
  6. Step 6: Final answer
    x = 10,408.84

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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.