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Finding the Fourth Proportional to 11,865.40, 17,785.80 and 4,069.96

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Solution

The fourth proportional to 11,865.40, 17,785.80 and 4,069.96 is: 6,100.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.40 : 17,785.80 = 4,069.96 : x
  2. Step 2: Convert to fraction form
    11,865.40/17,785.80 = 4,069.96/x
  3. Step 3: Cross multiply
    11,865.40x = 17,785.80 × 4,069.96
  4. Step 4: Simplify right side
    11,865.40x = 72,387,494.57
  5. Step 5: Solve for x
    x = 72,387,494.57/11,865.40
  6. Step 6: Final answer
    x = 6,100.72

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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.