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Finding the Fourth Proportional to 10,751.31, 14,836.09 and 5,970.86

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Solution

The fourth proportional to 10,751.31, 14,836.09 and 5,970.86 is: 8,239.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.31 : 14,836.09 = 5,970.86 : x
  2. Step 2: Convert to fraction form
    10,751.31/14,836.09 = 5,970.86/x
  3. Step 3: Cross multiply
    10,751.31x = 14,836.09 × 5,970.86
  4. Step 4: Simplify right side
    10,751.31x = 88,584,260.72
  5. Step 5: Solve for x
    x = 88,584,260.72/10,751.31
  6. Step 6: Final answer
    x = 8,239.39

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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.