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Finding the Fourth Proportional to 10,588.84, 15,872.05 and 3,921.04

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Solution

The fourth proportional to 10,588.84, 15,872.05 and 3,921.04 is: 5,877.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.84 : 15,872.05 = 3,921.04 : x
  2. Step 2: Convert to fraction form
    10,588.84/15,872.05 = 3,921.04/x
  3. Step 3: Cross multiply
    10,588.84x = 15,872.05 × 3,921.04
  4. Step 4: Simplify right side
    10,588.84x = 62,234,942.93
  5. Step 5: Solve for x
    x = 62,234,942.93/10,588.84
  6. Step 6: Final answer
    x = 5,877.41

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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.