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Finding the Fourth Proportional to 11,802.16, 16,287.02 and 6,766.49

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Solution

The fourth proportional to 11,802.16, 16,287.02 and 6,766.49 is: 9,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.16 : 16,287.02 = 6,766.49 : x
  2. Step 2: Convert to fraction form
    11,802.16/16,287.02 = 6,766.49/x
  3. Step 3: Cross multiply
    11,802.16x = 16,287.02 × 6,766.49
  4. Step 4: Simplify right side
    11,802.16x = 110,205,957.96
  5. Step 5: Solve for x
    x = 110,205,957.96/11,802.16
  6. Step 6: Final answer
    x = 9,337.78

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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.