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Finding the Fourth Proportional to 7,765.52, 11,648.05 and 2,218.74

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Solution

The fourth proportional to 7,765.52, 11,648.05 and 2,218.74 is: 3,328.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.52 : 11,648.05 = 2,218.74 : x
  2. Step 2: Convert to fraction form
    7,765.52/11,648.05 = 2,218.74/x
  3. Step 3: Cross multiply
    7,765.52x = 11,648.05 × 2,218.74
  4. Step 4: Simplify right side
    7,765.52x = 25,844,023.23
  5. Step 5: Solve for x
    x = 25,844,023.23/7,765.52
  6. Step 6: Final answer
    x = 3,328.05

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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.