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Finding the Fourth Proportional to 10,747.77, 14,832.01 and 5,967.82

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Solution

The fourth proportional to 10,747.77, 14,832.01 and 5,967.82 is: 8,235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,747.77 : 14,832.01 = 5,967.82 : x
  2. Step 2: Convert to fraction form
    10,747.77/14,832.01 = 5,967.82/x
  3. Step 3: Cross multiply
    10,747.77x = 14,832.01 × 5,967.82
  4. Step 4: Simplify right side
    10,747.77x = 88,514,765.92
  5. Step 5: Solve for x
    x = 88,514,765.92/10,747.77
  6. Step 6: Final answer
    x = 8,235.64

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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.