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Finding the Fourth Proportional to 7,856.60, 11,786.18 and 2,590.11

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Solution

The fourth proportional to 7,856.60, 11,786.18 and 2,590.11 is: 3,885.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.60 : 11,786.18 = 2,590.11 : x
  2. Step 2: Convert to fraction form
    7,856.60/11,786.18 = 2,590.11/x
  3. Step 3: Cross multiply
    7,856.60x = 11,786.18 × 2,590.11
  4. Step 4: Simplify right side
    7,856.60x = 30,527,489.73
  5. Step 5: Solve for x
    x = 30,527,489.73/7,856.60
  6. Step 6: Final answer
    x = 3,885.59

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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.