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Finding the Fourth Proportional to 8,111.93, 11,194.31 and 4,575.14

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Solution

The fourth proportional to 8,111.93, 11,194.31 and 4,575.14 is: 6,313.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.93 : 11,194.31 = 4,575.14 : x
  2. Step 2: Convert to fraction form
    8,111.93/11,194.31 = 4,575.14/x
  3. Step 3: Cross multiply
    8,111.93x = 11,194.31 × 4,575.14
  4. Step 4: Simplify right side
    8,111.93x = 51,215,574.88
  5. Step 5: Solve for x
    x = 51,215,574.88/8,111.93
  6. Step 6: Final answer
    x = 6,313.61

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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.