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Finding the Fourth Proportional to 10,832, 14,948.16 and 5,864

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Solution

The fourth proportional to 10,832, 14,948.16 and 5,864 is: 8,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832 : 14,948.16 = 5,864 : x
  2. Step 2: Convert to fraction form
    10,832/14,948.16 = 5,864/x
  3. Step 3: Cross multiply
    10,832x = 14,948.16 × 5,864
  4. Step 4: Simplify right side
    10,832x = 87,656,010.24
  5. Step 5: Solve for x
    x = 87,656,010.24/10,832
  6. Step 6: Final answer
    x = 8,092.32

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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.