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Finding the Fourth Proportional to 8,454.32, 11,667.72 and 4,678.36

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Solution

The fourth proportional to 8,454.32, 11,667.72 and 4,678.36 is: 6,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.32 : 11,667.72 = 4,678.36 : x
  2. Step 2: Convert to fraction form
    8,454.32/11,667.72 = 4,678.36/x
  3. Step 3: Cross multiply
    8,454.32x = 11,667.72 × 4,678.36
  4. Step 4: Simplify right side
    8,454.32x = 54,585,794.54
  5. Step 5: Solve for x
    x = 54,585,794.54/8,454.32
  6. Step 6: Final answer
    x = 6,456.56

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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.