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Finding the Fourth Proportional to 10,969.62, 16,452.78 and 4,042.50

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Solution

The fourth proportional to 10,969.62, 16,452.78 and 4,042.50 is: 6,063.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.62 : 16,452.78 = 4,042.50 : x
  2. Step 2: Convert to fraction form
    10,969.62/16,452.78 = 4,042.50/x
  3. Step 3: Cross multiply
    10,969.62x = 16,452.78 × 4,042.50
  4. Step 4: Simplify right side
    10,969.62x = 66,510,363.15
  5. Step 5: Solve for x
    x = 66,510,363.15/10,969.62
  6. Step 6: Final answer
    x = 6,063.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.