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Finding the Fourth Proportional to 6,991.16, 10,487.82 and 2,549.20

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Solution

The fourth proportional to 6,991.16, 10,487.82 and 2,549.20 is: 3,824.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.16 : 10,487.82 = 2,549.20 : x
  2. Step 2: Convert to fraction form
    6,991.16/10,487.82 = 2,549.20/x
  3. Step 3: Cross multiply
    6,991.16x = 10,487.82 × 2,549.20
  4. Step 4: Simplify right side
    6,991.16x = 26,735,550.74
  5. Step 5: Solve for x
    x = 26,735,550.74/6,991.16
  6. Step 6: Final answer
    x = 3,824.19

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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.