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Finding the Fourth Proportional to 7,180.66, 10,769.10 and 4,839.31

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Solution

The fourth proportional to 7,180.66, 10,769.10 and 4,839.31 is: 7,257.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.66 : 10,769.10 = 4,839.31 : x
  2. Step 2: Convert to fraction form
    7,180.66/10,769.10 = 4,839.31/x
  3. Step 3: Cross multiply
    7,180.66x = 10,769.10 × 4,839.31
  4. Step 4: Simplify right side
    7,180.66x = 52,115,013.32
  5. Step 5: Solve for x
    x = 52,115,013.32/7,180.66
  6. Step 6: Final answer
    x = 7,257.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.