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Finding the Fourth Proportional to 7,861.98, 10,847.66 and 5,314.49

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Solution

The fourth proportional to 7,861.98, 10,847.66 and 5,314.49 is: 7,332.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.98 : 10,847.66 = 5,314.49 : x
  2. Step 2: Convert to fraction form
    7,861.98/10,847.66 = 5,314.49/x
  3. Step 3: Cross multiply
    7,861.98x = 10,847.66 × 5,314.49
  4. Step 4: Simplify right side
    7,861.98x = 57,649,754.02
  5. Step 5: Solve for x
    x = 57,649,754.02/7,861.98
  6. Step 6: Final answer
    x = 7,332.73

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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.