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Finding the Fourth Proportional to 8,927.28, 12,320.82 and 5,390.46

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Solution

The fourth proportional to 8,927.28, 12,320.82 and 5,390.46 is: 7,439.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,927.28 : 12,320.82 = 5,390.46 : x
  2. Step 2: Convert to fraction form
    8,927.28/12,320.82 = 5,390.46/x
  3. Step 3: Cross multiply
    8,927.28x = 12,320.82 × 5,390.46
  4. Step 4: Simplify right side
    8,927.28x = 66,414,887.38
  5. Step 5: Solve for x
    x = 66,414,887.38/8,927.28
  6. Step 6: Final answer
    x = 7,439.54

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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.