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Finding the Fourth Proportional to 7,975.91, 11,006.61 and 4,439.09

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Solution

The fourth proportional to 7,975.91, 11,006.61 and 4,439.09 is: 6,125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975.91 : 11,006.61 = 4,439.09 : x
  2. Step 2: Convert to fraction form
    7,975.91/11,006.61 = 4,439.09/x
  3. Step 3: Cross multiply
    7,975.91x = 11,006.61 × 4,439.09
  4. Step 4: Simplify right side
    7,975.91x = 48,859,332.38
  5. Step 5: Solve for x
    x = 48,859,332.38/7,975.91
  6. Step 6: Final answer
    x = 6,125.86

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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.