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Finding the Fourth Proportional to 7,757.40, 11,636.66 and 2,211.20

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Solution

The fourth proportional to 7,757.40, 11,636.66 and 2,211.20 is: 3,316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.40 : 11,636.66 = 2,211.20 : x
  2. Step 2: Convert to fraction form
    7,757.40/11,636.66 = 2,211.20/x
  3. Step 3: Cross multiply
    7,757.40x = 11,636.66 × 2,211.20
  4. Step 4: Simplify right side
    7,757.40x = 25,730,973.57
  5. Step 5: Solve for x
    x = 25,730,973.57/7,757.40
  6. Step 6: Final answer
    x = 3,316.96

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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.