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Finding the Fourth Proportional to 10,394.52, 15,596.32 and 5,463

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Solution

The fourth proportional to 10,394.52, 15,596.32 and 5,463 is: 8,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.52 : 15,596.32 = 5,463 : x
  2. Step 2: Convert to fraction form
    10,394.52/15,596.32 = 5,463/x
  3. Step 3: Cross multiply
    10,394.52x = 15,596.32 × 5,463
  4. Step 4: Simplify right side
    10,394.52x = 85,202,696.16
  5. Step 5: Solve for x
    x = 85,202,696.16/10,394.52
  6. Step 6: Final answer
    x = 8,196.89

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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.