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Finding the Fourth Proportional to 12,528.18, 17,294.85 and 7,819.38

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Solution

The fourth proportional to 12,528.18, 17,294.85 and 7,819.38 is: 10,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,528.18 : 17,294.85 = 7,819.38 : x
  2. Step 2: Convert to fraction form
    12,528.18/17,294.85 = 7,819.38/x
  3. Step 3: Cross multiply
    12,528.18x = 17,294.85 × 7,819.38
  4. Step 4: Simplify right side
    12,528.18x = 135,235,004.19
  5. Step 5: Solve for x
    x = 135,235,004.19/12,528.18
  6. Step 6: Final answer
    x = 10,794.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.