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Finding the Fourth Proportional to 8,066.81, 11,135.94 and 5,382.49

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Solution

The fourth proportional to 8,066.81, 11,135.94 and 5,382.49 is: 7,430.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,066.81 : 11,135.94 = 5,382.49 : x
  2. Step 2: Convert to fraction form
    8,066.81/11,135.94 = 5,382.49/x
  3. Step 3: Cross multiply
    8,066.81x = 11,135.94 × 5,382.49
  4. Step 4: Simplify right side
    8,066.81x = 59,939,085.69
  5. Step 5: Solve for x
    x = 59,939,085.69/8,066.81
  6. Step 6: Final answer
    x = 7,430.33

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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.