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Finding the Fourth Proportional to 10,747.84, 14,832.02 and 6,032.12

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Solution

The fourth proportional to 10,747.84, 14,832.02 and 6,032.12 is: 8,324.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,747.84 : 14,832.02 = 6,032.12 : x
  2. Step 2: Convert to fraction form
    10,747.84/14,832.02 = 6,032.12/x
  3. Step 3: Cross multiply
    10,747.84x = 14,832.02 × 6,032.12
  4. Step 4: Simplify right side
    10,747.84x = 89,468,524.48
  5. Step 5: Solve for x
    x = 89,468,524.48/10,747.84
  6. Step 6: Final answer
    x = 8,324.33

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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.