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Finding the Fourth Proportional to 7,789.42, 11,686.36 and 3,841.86

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Solution

The fourth proportional to 7,789.42, 11,686.36 and 3,841.86 is: 5,763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789.42 : 11,686.36 = 3,841.86 : x
  2. Step 2: Convert to fraction form
    7,789.42/11,686.36 = 3,841.86/x
  3. Step 3: Cross multiply
    7,789.42x = 11,686.36 × 3,841.86
  4. Step 4: Simplify right side
    7,789.42x = 44,897,359.03
  5. Step 5: Solve for x
    x = 44,897,359.03/7,789.42
  6. Step 6: Final answer
    x = 5,763.89

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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.