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Finding the Fourth Proportional to 7,766.40, 11,650.06 and 2,219.32

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Solution

The fourth proportional to 7,766.40, 11,650.06 and 2,219.32 is: 3,329.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.40 : 11,650.06 = 2,219.32 : x
  2. Step 2: Convert to fraction form
    7,766.40/11,650.06 = 2,219.32/x
  3. Step 3: Cross multiply
    7,766.40x = 11,650.06 × 2,219.32
  4. Step 4: Simplify right side
    7,766.40x = 25,855,211.16
  5. Step 5: Solve for x
    x = 25,855,211.16/7,766.40
  6. Step 6: Final answer
    x = 3,329.11

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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.