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Finding the Fourth Proportional to 8,508.80, 12,767.07 and 3,826.24

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Solution

The fourth proportional to 8,508.80, 12,767.07 and 3,826.24 is: 5,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,508.80 : 12,767.07 = 3,826.24 : x
  2. Step 2: Convert to fraction form
    8,508.80/12,767.07 = 3,826.24/x
  3. Step 3: Cross multiply
    8,508.80x = 12,767.07 × 3,826.24
  4. Step 4: Simplify right side
    8,508.80x = 48,849,834.82
  5. Step 5: Solve for x
    x = 48,849,834.82/8,508.80
  6. Step 6: Final answer
    x = 5,741.10

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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.