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Finding the Fourth Proportional to 7,198.16, 10,778.18 and 5,641.34

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Solution

The fourth proportional to 7,198.16, 10,778.18 and 5,641.34 is: 8,447.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.16 : 10,778.18 = 5,641.34 : x
  2. Step 2: Convert to fraction form
    7,198.16/10,778.18 = 5,641.34/x
  3. Step 3: Cross multiply
    7,198.16x = 10,778.18 × 5,641.34
  4. Step 4: Simplify right side
    7,198.16x = 60,803,295.86
  5. Step 5: Solve for x
    x = 60,803,295.86/7,198.16
  6. Step 6: Final answer
    x = 8,447.07

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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.