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Finding the Fourth Proportional to 8,327.46, 11,486.16 and 5,937.16

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Solution

The fourth proportional to 8,327.46, 11,486.16 and 5,937.16 is: 8,189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.46 : 11,486.16 = 5,937.16 : x
  2. Step 2: Convert to fraction form
    8,327.46/11,486.16 = 5,937.16/x
  3. Step 3: Cross multiply
    8,327.46x = 11,486.16 × 5,937.16
  4. Step 4: Simplify right side
    8,327.46x = 68,195,169.71
  5. Step 5: Solve for x
    x = 68,195,169.71/8,327.46
  6. Step 6: Final answer
    x = 8,189.19

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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.