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Finding the Fourth Proportional to 11,383.46, 15,709.24 and 6,348

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Solution

The fourth proportional to 11,383.46, 15,709.24 and 6,348 is: 8,760.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383.46 : 15,709.24 = 6,348 : x
  2. Step 2: Convert to fraction form
    11,383.46/15,709.24 = 6,348/x
  3. Step 3: Cross multiply
    11,383.46x = 15,709.24 × 6,348
  4. Step 4: Simplify right side
    11,383.46x = 99,722,255.52
  5. Step 5: Solve for x
    x = 99,722,255.52/11,383.46
  6. Step 6: Final answer
    x = 8,760.28

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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.