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Finding the Fourth Proportional to 7,885.29, 11,827.80 and 3,727.29

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Solution

The fourth proportional to 7,885.29, 11,827.80 and 3,727.29 is: 5,590.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.29 : 11,827.80 = 3,727.29 : x
  2. Step 2: Convert to fraction form
    7,885.29/11,827.80 = 3,727.29/x
  3. Step 3: Cross multiply
    7,885.29x = 11,827.80 × 3,727.29
  4. Step 4: Simplify right side
    7,885.29x = 44,085,640.66
  5. Step 5: Solve for x
    x = 44,085,640.66/7,885.29
  6. Step 6: Final answer
    x = 5,590.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.