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Finding the Fourth Proportional to 11,803.29, 16,287.91 and 6,497.08

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Solution

The fourth proportional to 11,803.29, 16,287.91 and 6,497.08 is: 8,965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.29 : 16,287.91 = 6,497.08 : x
  2. Step 2: Convert to fraction form
    11,803.29/16,287.91 = 6,497.08/x
  3. Step 3: Cross multiply
    11,803.29x = 16,287.91 × 6,497.08
  4. Step 4: Simplify right side
    11,803.29x = 105,823,854.30
  5. Step 5: Solve for x
    x = 105,823,854.30/11,803.29
  6. Step 6: Final answer
    x = 8,965.62

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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.