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Finding the Fourth Proportional to 10,751.26, 14,835.92 and 6,034.62

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Solution

The fourth proportional to 10,751.26, 14,835.92 and 6,034.62 is: 8,327.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.26 : 14,835.92 = 6,034.62 : x
  2. Step 2: Convert to fraction form
    10,751.26/14,835.92 = 6,034.62/x
  3. Step 3: Cross multiply
    10,751.26x = 14,835.92 × 6,034.62
  4. Step 4: Simplify right side
    10,751.26x = 89,529,139.55
  5. Step 5: Solve for x
    x = 89,529,139.55/10,751.26
  6. Step 6: Final answer
    x = 8,327.32

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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.