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Finding the Fourth Proportional to 11,766.60, 17,653.35 and 4,743

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Solution

The fourth proportional to 11,766.60, 17,653.35 and 4,743 is: 7,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.60 : 17,653.35 = 4,743 : x
  2. Step 2: Convert to fraction form
    11,766.60/17,653.35 = 4,743/x
  3. Step 3: Cross multiply
    11,766.60x = 17,653.35 × 4,743
  4. Step 4: Simplify right side
    11,766.60x = 83,729,839.05
  5. Step 5: Solve for x
    x = 83,729,839.05/11,766.60
  6. Step 6: Final answer
    x = 7,115.89

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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.