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Finding the Fourth Proportional to 7,766.66, 11,641.20 and 3,809.42

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Solution

The fourth proportional to 7,766.66, 11,641.20 and 3,809.42 is: 5,709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.66 : 11,641.20 = 3,809.42 : x
  2. Step 2: Convert to fraction form
    7,766.66/11,641.20 = 3,809.42/x
  3. Step 3: Cross multiply
    7,766.66x = 11,641.20 × 3,809.42
  4. Step 4: Simplify right side
    7,766.66x = 44,346,220.10
  5. Step 5: Solve for x
    x = 44,346,220.10/7,766.66
  6. Step 6: Final answer
    x = 5,709.82

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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.