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Finding the Fourth Proportional to 8,378.38, 11,561.86 and 4,601.42

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Solution

The fourth proportional to 8,378.38, 11,561.86 and 4,601.42 is: 6,349.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.38 : 11,561.86 = 4,601.42 : x
  2. Step 2: Convert to fraction form
    8,378.38/11,561.86 = 4,601.42/x
  3. Step 3: Cross multiply
    8,378.38x = 11,561.86 × 4,601.42
  4. Step 4: Simplify right side
    8,378.38x = 53,200,973.84
  5. Step 5: Solve for x
    x = 53,200,973.84/8,378.38
  6. Step 6: Final answer
    x = 6,349.79

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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.