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Finding the Fourth Proportional to 7,765.51, 11,648.64 and 2,219.68

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Solution

The fourth proportional to 7,765.51, 11,648.64 and 2,219.68 is: 3,329.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.51 : 11,648.64 = 2,219.68 : x
  2. Step 2: Convert to fraction form
    7,765.51/11,648.64 = 2,219.68/x
  3. Step 3: Cross multiply
    7,765.51x = 11,648.64 × 2,219.68
  4. Step 4: Simplify right side
    7,765.51x = 25,856,253.24
  5. Step 5: Solve for x
    x = 25,856,253.24/7,765.51
  6. Step 6: Final answer
    x = 3,329.63

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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.