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Finding the Fourth Proportional to 10,879.75, 16,317.34 and 5,327.50

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Solution

The fourth proportional to 10,879.75, 16,317.34 and 5,327.50 is: 7,990.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,879.75 : 16,317.34 = 5,327.50 : x
  2. Step 2: Convert to fraction form
    10,879.75/16,317.34 = 5,327.50/x
  3. Step 3: Cross multiply
    10,879.75x = 16,317.34 × 5,327.50
  4. Step 4: Simplify right side
    10,879.75x = 86,930,602.21
  5. Step 5: Solve for x
    x = 86,930,602.21/10,879.75
  6. Step 6: Final answer
    x = 7,990.13

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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.