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Finding the Fourth Proportional to 11,802.27, 16,287.14 and 6,497.09

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Solution

The fourth proportional to 11,802.27, 16,287.14 and 6,497.09 is: 8,965.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.27 : 16,287.14 = 6,497.09 : x
  2. Step 2: Convert to fraction form
    11,802.27/16,287.14 = 6,497.09/x
  3. Step 3: Cross multiply
    11,802.27x = 16,287.14 × 6,497.09
  4. Step 4: Simplify right side
    11,802.27x = 105,818,931.04
  5. Step 5: Solve for x
    x = 105,818,931.04/11,802.27
  6. Step 6: Final answer
    x = 8,965.98

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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.