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Finding the Fourth Proportional to 8,138.66, 11,232.18 and 4,952.18

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Solution

The fourth proportional to 8,138.66, 11,232.18 and 4,952.18 is: 6,834.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.66 : 11,232.18 = 4,952.18 : x
  2. Step 2: Convert to fraction form
    8,138.66/11,232.18 = 4,952.18/x
  3. Step 3: Cross multiply
    8,138.66x = 11,232.18 × 4,952.18
  4. Step 4: Simplify right side
    8,138.66x = 55,623,777.15
  5. Step 5: Solve for x
    x = 55,623,777.15/8,138.66
  6. Step 6: Final answer
    x = 6,834.51

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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.