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Finding the Fourth Proportional to 8,686.57, 13,029.72 and 2,763.81

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Solution

The fourth proportional to 8,686.57, 13,029.72 and 2,763.81 is: 4,145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.57 : 13,029.72 = 2,763.81 : x
  2. Step 2: Convert to fraction form
    8,686.57/13,029.72 = 2,763.81/x
  3. Step 3: Cross multiply
    8,686.57x = 13,029.72 × 2,763.81
  4. Step 4: Simplify right side
    8,686.57x = 36,011,703.01
  5. Step 5: Solve for x
    x = 36,011,703.01/8,686.57
  6. Step 6: Final answer
    x = 4,145.68

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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.