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Finding the Fourth Proportional to 11,800.27, 17,685.82 and 6,859.68

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Solution

The fourth proportional to 11,800.27, 17,685.82 and 6,859.68 is: 10,281.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.27 : 17,685.82 = 6,859.68 : x
  2. Step 2: Convert to fraction form
    11,800.27/17,685.82 = 6,859.68/x
  3. Step 3: Cross multiply
    11,800.27x = 17,685.82 × 6,859.68
  4. Step 4: Simplify right side
    11,800.27x = 121,319,065.74
  5. Step 5: Solve for x
    x = 121,319,065.74/11,800.27
  6. Step 6: Final answer
    x = 10,281.04

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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.