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Finding the Fourth Proportional to 7,227.90, 10,841.82 and 4,778.16

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Solution

The fourth proportional to 7,227.90, 10,841.82 and 4,778.16 is: 7,167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.90 : 10,841.82 = 4,778.16 : x
  2. Step 2: Convert to fraction form
    7,227.90/10,841.82 = 4,778.16/x
  3. Step 3: Cross multiply
    7,227.90x = 10,841.82 × 4,778.16
  4. Step 4: Simplify right side
    7,227.90x = 51,803,950.65
  5. Step 5: Solve for x
    x = 51,803,950.65/7,227.90
  6. Step 6: Final answer
    x = 7,167.22

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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.