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Finding the Fourth Proportional to 7,765.74, 11,646.96 and 2,217.61

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Solution

The fourth proportional to 7,765.74, 11,646.96 and 2,217.61 is: 3,325.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.74 : 11,646.96 = 2,217.61 : x
  2. Step 2: Convert to fraction form
    7,765.74/11,646.96 = 2,217.61/x
  3. Step 3: Cross multiply
    7,765.74x = 11,646.96 × 2,217.61
  4. Step 4: Simplify right side
    7,765.74x = 25,828,421.21
  5. Step 5: Solve for x
    x = 25,828,421.21/7,765.74
  6. Step 6: Final answer
    x = 3,325.94

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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.