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Finding the Fourth Proportional to 10,357.80, 14,294.34 and 5,879.88

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Solution

The fourth proportional to 10,357.80, 14,294.34 and 5,879.88 is: 8,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.80 : 14,294.34 = 5,879.88 : x
  2. Step 2: Convert to fraction form
    10,357.80/14,294.34 = 5,879.88/x
  3. Step 3: Cross multiply
    10,357.80x = 14,294.34 × 5,879.88
  4. Step 4: Simplify right side
    10,357.80x = 84,049,003.88
  5. Step 5: Solve for x
    x = 84,049,003.88/10,357.80
  6. Step 6: Final answer
    x = 8,114.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.