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Finding the Fourth Proportional to 10,751.33, 16,129.98 and 4,509.87

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Solution

The fourth proportional to 10,751.33, 16,129.98 and 4,509.87 is: 6,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.33 : 16,129.98 = 4,509.87 : x
  2. Step 2: Convert to fraction form
    10,751.33/16,129.98 = 4,509.87/x
  3. Step 3: Cross multiply
    10,751.33x = 16,129.98 × 4,509.87
  4. Step 4: Simplify right side
    10,751.33x = 72,744,112.90
  5. Step 5: Solve for x
    x = 72,744,112.90/10,751.33
  6. Step 6: Final answer
    x = 6,766.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.