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Finding the Fourth Proportional to 10,588.44, 14,612.13 and 5,872.71

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Solution

The fourth proportional to 10,588.44, 14,612.13 and 5,872.71 is: 8,104.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.44 : 14,612.13 = 5,872.71 : x
  2. Step 2: Convert to fraction form
    10,588.44/14,612.13 = 5,872.71/x
  3. Step 3: Cross multiply
    10,588.44x = 14,612.13 × 5,872.71
  4. Step 4: Simplify right side
    10,588.44x = 85,812,801.97
  5. Step 5: Solve for x
    x = 85,812,801.97/10,588.44
  6. Step 6: Final answer
    x = 8,104.39

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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.