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Finding the Fourth Proportional to 10,894.14, 16,331.48 and 5,042.70

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Solution

The fourth proportional to 10,894.14, 16,331.48 and 5,042.70 is: 7,559.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.14 : 16,331.48 = 5,042.70 : x
  2. Step 2: Convert to fraction form
    10,894.14/16,331.48 = 5,042.70/x
  3. Step 3: Cross multiply
    10,894.14x = 16,331.48 × 5,042.70
  4. Step 4: Simplify right side
    10,894.14x = 82,354,754.20
  5. Step 5: Solve for x
    x = 82,354,754.20/10,894.14
  6. Step 6: Final answer
    x = 7,559.55

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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.