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Finding the Fourth Proportional to 7,581.42, 10,461.18 and 4,747.44

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Solution

The fourth proportional to 7,581.42, 10,461.18 and 4,747.44 is: 6,550.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581.42 : 10,461.18 = 4,747.44 : x
  2. Step 2: Convert to fraction form
    7,581.42/10,461.18 = 4,747.44/x
  3. Step 3: Cross multiply
    7,581.42x = 10,461.18 × 4,747.44
  4. Step 4: Simplify right side
    7,581.42x = 49,663,824.38
  5. Step 5: Solve for x
    x = 49,663,824.38/7,581.42
  6. Step 6: Final answer
    x = 6,550.73

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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.