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Finding the Fourth Proportional to 8,561.12, 12,843.10 and 2,719.13

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Solution

The fourth proportional to 8,561.12, 12,843.10 and 2,719.13 is: 4,079.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.12 : 12,843.10 = 2,719.13 : x
  2. Step 2: Convert to fraction form
    8,561.12/12,843.10 = 2,719.13/x
  3. Step 3: Cross multiply
    8,561.12x = 12,843.10 × 2,719.13
  4. Step 4: Simplify right side
    8,561.12x = 34,922,058.50
  5. Step 5: Solve for x
    x = 34,922,058.50/8,561.12
  6. Step 6: Final answer
    x = 4,079.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.