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Finding the Fourth Proportional to 7,765.47, 11,650.84 and 3,385.80

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Solution

The fourth proportional to 7,765.47, 11,650.84 and 3,385.80 is: 5,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.47 : 11,650.84 = 3,385.80 : x
  2. Step 2: Convert to fraction form
    7,765.47/11,650.84 = 3,385.80/x
  3. Step 3: Cross multiply
    7,765.47x = 11,650.84 × 3,385.80
  4. Step 4: Simplify right side
    7,765.47x = 39,447,405.61
  5. Step 5: Solve for x
    x = 39,447,405.61/7,765.47
  6. Step 6: Final answer
    x = 5,079.85

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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.