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Finding the Fourth Proportional to 10,524.94, 15,782.82 and 5,593.40

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Solution

The fourth proportional to 10,524.94, 15,782.82 and 5,593.40 is: 8,387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.94 : 15,782.82 = 5,593.40 : x
  2. Step 2: Convert to fraction form
    10,524.94/15,782.82 = 5,593.40/x
  3. Step 3: Cross multiply
    10,524.94x = 15,782.82 × 5,593.40
  4. Step 4: Simplify right side
    10,524.94x = 88,279,625.39
  5. Step 5: Solve for x
    x = 88,279,625.39/10,524.94
  6. Step 6: Final answer
    x = 8,387.66

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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.