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Finding the Fourth Proportional to 10,595.56, 14,621.38 and 5,879.80

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Solution

The fourth proportional to 10,595.56, 14,621.38 and 5,879.80 is: 8,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.56 : 14,621.38 = 5,879.80 : x
  2. Step 2: Convert to fraction form
    10,595.56/14,621.38 = 5,879.80/x
  3. Step 3: Cross multiply
    10,595.56x = 14,621.38 × 5,879.80
  4. Step 4: Simplify right side
    10,595.56x = 85,970,790.12
  5. Step 5: Solve for x
    x = 85,970,790.12/10,595.56
  6. Step 6: Final answer
    x = 8,113.85

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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.