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Finding the Fourth Proportional to 7,537.76, 10,401.82 and 4,180.88

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Solution

The fourth proportional to 7,537.76, 10,401.82 and 4,180.88 is: 5,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.76 : 10,401.82 = 4,180.88 : x
  2. Step 2: Convert to fraction form
    7,537.76/10,401.82 = 4,180.88/x
  3. Step 3: Cross multiply
    7,537.76x = 10,401.82 × 4,180.88
  4. Step 4: Simplify right side
    7,537.76x = 43,488,761.20
  5. Step 5: Solve for x
    x = 43,488,761.20/7,537.76
  6. Step 6: Final answer
    x = 5,769.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.