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Finding the Fourth Proportional to 7,765.34, 11,648.07 and 2,218.66

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Solution

The fourth proportional to 7,765.34, 11,648.07 and 2,218.66 is: 3,328.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.34 : 11,648.07 = 2,218.66 : x
  2. Step 2: Convert to fraction form
    7,765.34/11,648.07 = 2,218.66/x
  3. Step 3: Cross multiply
    7,765.34x = 11,648.07 × 2,218.66
  4. Step 4: Simplify right side
    7,765.34x = 25,843,106.99
  5. Step 5: Solve for x
    x = 25,843,106.99/7,765.34
  6. Step 6: Final answer
    x = 3,328.01

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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.