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Finding the Fourth Proportional to 10,618.52, 15,912.63 and 7,823.21

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Solution

The fourth proportional to 10,618.52, 15,912.63 and 7,823.21 is: 11,723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.52 : 15,912.63 = 7,823.21 : x
  2. Step 2: Convert to fraction form
    10,618.52/15,912.63 = 7,823.21/x
  3. Step 3: Cross multiply
    10,618.52x = 15,912.63 × 7,823.21
  4. Step 4: Simplify right side
    10,618.52x = 124,487,766.58
  5. Step 5: Solve for x
    x = 124,487,766.58/10,618.52
  6. Step 6: Final answer
    x = 11,723.65

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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.