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Finding the Fourth Proportional to 8,066.86, 11,101.93 and 6,824.25

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Solution

The fourth proportional to 8,066.86, 11,101.93 and 6,824.25 is: 9,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,066.86 : 11,101.93 = 6,824.25 : x
  2. Step 2: Convert to fraction form
    8,066.86/11,101.93 = 6,824.25/x
  3. Step 3: Cross multiply
    8,066.86x = 11,101.93 × 6,824.25
  4. Step 4: Simplify right side
    8,066.86x = 75,762,328.74
  5. Step 5: Solve for x
    x = 75,762,328.74/8,066.86
  6. Step 6: Final answer
    x = 9,391.80

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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.