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Finding the Fourth Proportional to 8,342.28, 11,506.92 and 5,353.38

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Solution

The fourth proportional to 8,342.28, 11,506.92 and 5,353.38 is: 7,384.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.28 : 11,506.92 = 5,353.38 : x
  2. Step 2: Convert to fraction form
    8,342.28/11,506.92 = 5,353.38/x
  3. Step 3: Cross multiply
    8,342.28x = 11,506.92 × 5,353.38
  4. Step 4: Simplify right side
    8,342.28x = 61,600,915.39
  5. Step 5: Solve for x
    x = 61,600,915.39/8,342.28
  6. Step 6: Final answer
    x = 7,384.18

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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.