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Finding the Fourth Proportional to 10,751.79, 14,836.63 and 5,971.28

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Solution

The fourth proportional to 10,751.79, 14,836.63 and 5,971.28 is: 8,239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.79 : 14,836.63 = 5,971.28 : x
  2. Step 2: Convert to fraction form
    10,751.79/14,836.63 = 5,971.28/x
  3. Step 3: Cross multiply
    10,751.79x = 14,836.63 × 5,971.28
  4. Step 4: Simplify right side
    10,751.79x = 88,593,677.53
  5. Step 5: Solve for x
    x = 88,593,677.53/10,751.79
  6. Step 6: Final answer
    x = 8,239.90

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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.