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Finding the Fourth Proportional to 7,775.85, 11,663.74 and 2,229.19

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Solution

The fourth proportional to 7,775.85, 11,663.74 and 2,229.19 is: 3,343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.85 : 11,663.74 = 2,229.19 : x
  2. Step 2: Convert to fraction form
    7,775.85/11,663.74 = 2,229.19/x
  3. Step 3: Cross multiply
    7,775.85x = 11,663.74 × 2,229.19
  4. Step 4: Simplify right side
    7,775.85x = 26,000,692.57
  5. Step 5: Solve for x
    x = 26,000,692.57/7,775.85
  6. Step 6: Final answer
    x = 3,343.77

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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.