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Finding the Fourth Proportional to 8,091.74, 12,118.45 and 5,161.16

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Solution

The fourth proportional to 8,091.74, 12,118.45 and 5,161.16 is: 7,729.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.74 : 12,118.45 = 5,161.16 : x
  2. Step 2: Convert to fraction form
    8,091.74/12,118.45 = 5,161.16/x
  3. Step 3: Cross multiply
    8,091.74x = 12,118.45 × 5,161.16
  4. Step 4: Simplify right side
    8,091.74x = 62,545,259.40
  5. Step 5: Solve for x
    x = 62,545,259.40/8,091.74
  6. Step 6: Final answer
    x = 7,729.52

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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.