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Finding the Fourth Proportional to 10,393.52, 15,594.82 and 5,462

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Solution

The fourth proportional to 10,393.52, 15,594.82 and 5,462 is: 8,195.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.52 : 15,594.82 = 5,462 : x
  2. Step 2: Convert to fraction form
    10,393.52/15,594.82 = 5,462/x
  3. Step 3: Cross multiply
    10,393.52x = 15,594.82 × 5,462
  4. Step 4: Simplify right side
    10,393.52x = 85,178,906.84
  5. Step 5: Solve for x
    x = 85,178,906.84/10,393.52
  6. Step 6: Final answer
    x = 8,195.39

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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.