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Finding the Fourth Proportional to 8,782.65, 13,154.19 and 6,161.82

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Solution

The fourth proportional to 8,782.65, 13,154.19 and 6,161.82 is: 9,228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.65 : 13,154.19 = 6,161.82 : x
  2. Step 2: Convert to fraction form
    8,782.65/13,154.19 = 6,161.82/x
  3. Step 3: Cross multiply
    8,782.65x = 13,154.19 × 6,161.82
  4. Step 4: Simplify right side
    8,782.65x = 81,053,751.03
  5. Step 5: Solve for x
    x = 81,053,751.03/8,782.65
  6. Step 6: Final answer
    x = 9,228.85

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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.