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Finding the Fourth Proportional to 10,387.44, 15,578.46 and 4,542.84

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Solution

The fourth proportional to 10,387.44, 15,578.46 and 4,542.84 is: 6,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.44 : 15,578.46 = 4,542.84 : x
  2. Step 2: Convert to fraction form
    10,387.44/15,578.46 = 4,542.84/x
  3. Step 3: Cross multiply
    10,387.44x = 15,578.46 × 4,542.84
  4. Step 4: Simplify right side
    10,387.44x = 70,770,451.23
  5. Step 5: Solve for x
    x = 70,770,451.23/10,387.44
  6. Step 6: Final answer
    x = 6,813.08

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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.