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Finding the Fourth Proportional to 10,578.20, 14,598.78 and 5,864

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Solution

The fourth proportional to 10,578.20, 14,598.78 and 5,864 is: 8,092.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.20 : 14,598.78 = 5,864 : x
  2. Step 2: Convert to fraction form
    10,578.20/14,598.78 = 5,864/x
  3. Step 3: Cross multiply
    10,578.20x = 14,598.78 × 5,864
  4. Step 4: Simplify right side
    10,578.20x = 85,607,245.92
  5. Step 5: Solve for x
    x = 85,607,245.92/10,578.20
  6. Step 6: Final answer
    x = 8,092.80

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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.