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Finding the Fourth Proportional to 7,770.85, 11,659.72 and 4,072.20

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Solution

The fourth proportional to 7,770.85, 11,659.72 and 4,072.20 is: 6,110.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.85 : 11,659.72 = 4,072.20 : x
  2. Step 2: Convert to fraction form
    7,770.85/11,659.72 = 4,072.20/x
  3. Step 3: Cross multiply
    7,770.85x = 11,659.72 × 4,072.20
  4. Step 4: Simplify right side
    7,770.85x = 47,480,711.78
  5. Step 5: Solve for x
    x = 47,480,711.78/7,770.85
  6. Step 6: Final answer
    x = 6,110.11

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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.