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Finding the Fourth Proportional to 7,717.38, 10,649.98 and 4,180.59

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Solution

The fourth proportional to 7,717.38, 10,649.98 and 4,180.59 is: 5,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.38 : 10,649.98 = 4,180.59 : x
  2. Step 2: Convert to fraction form
    7,717.38/10,649.98 = 4,180.59/x
  3. Step 3: Cross multiply
    7,717.38x = 10,649.98 × 4,180.59
  4. Step 4: Simplify right side
    7,717.38x = 44,523,199.89
  5. Step 5: Solve for x
    x = 44,523,199.89/7,717.38
  6. Step 6: Final answer
    x = 5,769.21

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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.