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Finding the Fourth Proportional to 8,685.66, 13,028.50 and 2,111.80

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Solution

The fourth proportional to 8,685.66, 13,028.50 and 2,111.80 is: 3,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,685.66 : 13,028.50 = 2,111.80 : x
  2. Step 2: Convert to fraction form
    8,685.66/13,028.50 = 2,111.80/x
  3. Step 3: Cross multiply
    8,685.66x = 13,028.50 × 2,111.80
  4. Step 4: Simplify right side
    8,685.66x = 27,513,586.30
  5. Step 5: Solve for x
    x = 27,513,586.30/8,685.66
  6. Step 6: Final answer
    x = 3,167.70

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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.