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Finding the Fourth Proportional to 7,760.68, 11,642.85 and 2,214.09

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Solution

The fourth proportional to 7,760.68, 11,642.85 and 2,214.09 is: 3,321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.68 : 11,642.85 = 2,214.09 : x
  2. Step 2: Convert to fraction form
    7,760.68/11,642.85 = 2,214.09/x
  3. Step 3: Cross multiply
    7,760.68x = 11,642.85 × 2,214.09
  4. Step 4: Simplify right side
    7,760.68x = 25,778,317.76
  5. Step 5: Solve for x
    x = 25,778,317.76/7,760.68
  6. Step 6: Final answer
    x = 3,321.66

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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.