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Finding the Fourth Proportional to 10,559.88, 15,833.34 and 7,793.28

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Solution

The fourth proportional to 10,559.88, 15,833.34 and 7,793.28 is: 11,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.88 : 15,833.34 = 7,793.28 : x
  2. Step 2: Convert to fraction form
    10,559.88/15,833.34 = 7,793.28/x
  3. Step 3: Cross multiply
    10,559.88x = 15,833.34 × 7,793.28
  4. Step 4: Simplify right side
    10,559.88x = 123,393,651.96
  5. Step 5: Solve for x
    x = 123,393,651.96/10,559.88
  6. Step 6: Final answer
    x = 11,685.14

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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.