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Finding the Fourth Proportional to 11,803.16, 16,287.73 and 6,496.96

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Solution

The fourth proportional to 11,803.16, 16,287.73 and 6,496.96 is: 8,965.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.16 : 16,287.73 = 6,496.96 : x
  2. Step 2: Convert to fraction form
    11,803.16/16,287.73 = 6,496.96/x
  3. Step 3: Cross multiply
    11,803.16x = 16,287.73 × 6,496.96
  4. Step 4: Simplify right side
    11,803.16x = 105,820,730.30
  5. Step 5: Solve for x
    x = 105,820,730.30/11,803.16
  6. Step 6: Final answer
    x = 8,965.46

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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.