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Finding the Fourth Proportional to 11,802.44, 16,287.19 and 6,497.12

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Solution

The fourth proportional to 11,802.44, 16,287.19 and 6,497.12 is: 8,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.44 : 16,287.19 = 6,497.12 : x
  2. Step 2: Convert to fraction form
    11,802.44/16,287.19 = 6,497.12/x
  3. Step 3: Cross multiply
    11,802.44x = 16,287.19 × 6,497.12
  4. Step 4: Simplify right side
    11,802.44x = 105,819,713.97
  5. Step 5: Solve for x
    x = 105,819,713.97/11,802.44
  6. Step 6: Final answer
    x = 8,965.92

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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.