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Finding the Fourth Proportional to 8,934.57, 12,326.91 and 5,157.24

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Solution

The fourth proportional to 8,934.57, 12,326.91 and 5,157.24 is: 7,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,934.57 : 12,326.91 = 5,157.24 : x
  2. Step 2: Convert to fraction form
    8,934.57/12,326.91 = 5,157.24/x
  3. Step 3: Cross multiply
    8,934.57x = 12,326.91 × 5,157.24
  4. Step 4: Simplify right side
    8,934.57x = 63,572,833.33
  5. Step 5: Solve for x
    x = 63,572,833.33/8,934.57
  6. Step 6: Final answer
    x = 7,115.38

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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.