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Finding the Fourth Proportional to 7,867.38, 10,856.94 and 4,330.56

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Solution

The fourth proportional to 7,867.38, 10,856.94 and 4,330.56 is: 5,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.38 : 10,856.94 = 4,330.56 : x
  2. Step 2: Convert to fraction form
    7,867.38/10,856.94 = 4,330.56/x
  3. Step 3: Cross multiply
    7,867.38x = 10,856.94 × 4,330.56
  4. Step 4: Simplify right side
    7,867.38x = 47,016,630.09
  5. Step 5: Solve for x
    x = 47,016,630.09/7,867.38
  6. Step 6: Final answer
    x = 5,976.15

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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.