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Finding the Fourth Proportional to 10,595.02, 14,622.38 and 5,879.61

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Solution

The fourth proportional to 10,595.02, 14,622.38 and 5,879.61 is: 8,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.02 : 14,622.38 = 5,879.61 : x
  2. Step 2: Convert to fraction form
    10,595.02/14,622.38 = 5,879.61/x
  3. Step 3: Cross multiply
    10,595.02x = 14,622.38 × 5,879.61
  4. Step 4: Simplify right side
    10,595.02x = 85,973,891.67
  5. Step 5: Solve for x
    x = 85,973,891.67/10,595.02
  6. Step 6: Final answer
    x = 8,114.56

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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.