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Finding the Fourth Proportional to 7,924.38, 10,934.24 and 4,567.34

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Solution

The fourth proportional to 7,924.38, 10,934.24 and 4,567.34 is: 6,302.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.38 : 10,934.24 = 4,567.34 : x
  2. Step 2: Convert to fraction form
    7,924.38/10,934.24 = 4,567.34/x
  3. Step 3: Cross multiply
    7,924.38x = 10,934.24 × 4,567.34
  4. Step 4: Simplify right side
    7,924.38x = 49,940,360.41
  5. Step 5: Solve for x
    x = 49,940,360.41/7,924.38
  6. Step 6: Final answer
    x = 6,302.11

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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.