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Finding the Fourth Proportional to 7,768.40, 11,654.42 and 2,221.58

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Solution

The fourth proportional to 7,768.40, 11,654.42 and 2,221.58 is: 3,332.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.40 : 11,654.42 = 2,221.58 : x
  2. Step 2: Convert to fraction form
    7,768.40/11,654.42 = 2,221.58/x
  3. Step 3: Cross multiply
    7,768.40x = 11,654.42 × 2,221.58
  4. Step 4: Simplify right side
    7,768.40x = 25,891,244.41
  5. Step 5: Solve for x
    x = 25,891,244.41/7,768.40
  6. Step 6: Final answer
    x = 3,332.89

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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.