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Finding the Fourth Proportional to 7,147.85, 10,717.92 and 2,216.16

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Solution

The fourth proportional to 7,147.85, 10,717.92 and 2,216.16 is: 3,323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.85 : 10,717.92 = 2,216.16 : x
  2. Step 2: Convert to fraction form
    7,147.85/10,717.92 = 2,216.16/x
  3. Step 3: Cross multiply
    7,147.85x = 10,717.92 × 2,216.16
  4. Step 4: Simplify right side
    7,147.85x = 23,752,625.59
  5. Step 5: Solve for x
    x = 23,752,625.59/7,147.85
  6. Step 6: Final answer
    x = 3,323.05

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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.