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Finding the Fourth Proportional to 7,860.68, 11,780.59 and 5,770.91

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Solution

The fourth proportional to 7,860.68, 11,780.59 and 5,770.91 is: 8,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.68 : 11,780.59 = 5,770.91 : x
  2. Step 2: Convert to fraction form
    7,860.68/11,780.59 = 5,770.91/x
  3. Step 3: Cross multiply
    7,860.68x = 11,780.59 × 5,770.91
  4. Step 4: Simplify right side
    7,860.68x = 67,984,665.73
  5. Step 5: Solve for x
    x = 67,984,665.73/7,860.68
  6. Step 6: Final answer
    x = 8,648.71

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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.