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Finding the Fourth Proportional to 7,766.82, 10,718.46 and 4,230.09

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Solution

The fourth proportional to 7,766.82, 10,718.46 and 4,230.09 is: 5,837.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.82 : 10,718.46 = 4,230.09 : x
  2. Step 2: Convert to fraction form
    7,766.82/10,718.46 = 4,230.09/x
  3. Step 3: Cross multiply
    7,766.82x = 10,718.46 × 4,230.09
  4. Step 4: Simplify right side
    7,766.82x = 45,340,050.46
  5. Step 5: Solve for x
    x = 45,340,050.46/7,766.82
  6. Step 6: Final answer
    x = 5,837.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.