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Finding the Fourth Proportional to 10,751.71, 14,836.85 and 5,971.96

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Solution

The fourth proportional to 10,751.71, 14,836.85 and 5,971.96 is: 8,241.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.71 : 14,836.85 = 5,971.96 : x
  2. Step 2: Convert to fraction form
    10,751.71/14,836.85 = 5,971.96/x
  3. Step 3: Cross multiply
    10,751.71x = 14,836.85 × 5,971.96
  4. Step 4: Simplify right side
    10,751.71x = 88,605,062.91
  5. Step 5: Solve for x
    x = 88,605,062.91/10,751.71
  6. Step 6: Final answer
    x = 8,241.02

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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.