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Finding the Fourth Proportional to 8,233.81, 11,365.18 and 7,126.65

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Solution

The fourth proportional to 8,233.81, 11,365.18 and 7,126.65 is: 9,836.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.81 : 11,365.18 = 7,126.65 : x
  2. Step 2: Convert to fraction form
    8,233.81/11,365.18 = 7,126.65/x
  3. Step 3: Cross multiply
    8,233.81x = 11,365.18 × 7,126.65
  4. Step 4: Simplify right side
    8,233.81x = 80,995,642.23
  5. Step 5: Solve for x
    x = 80,995,642.23/8,233.81
  6. Step 6: Final answer
    x = 9,836.96

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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.