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Finding the Fourth Proportional to 11,802.19, 16,286.84 and 6,496.87

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Solution

The fourth proportional to 11,802.19, 16,286.84 and 6,496.87 is: 8,965.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.19 : 16,286.84 = 6,496.87 : x
  2. Step 2: Convert to fraction form
    11,802.19/16,286.84 = 6,496.87/x
  3. Step 3: Cross multiply
    11,802.19x = 16,286.84 × 6,496.87
  4. Step 4: Simplify right side
    11,802.19x = 105,813,400.76
  5. Step 5: Solve for x
    x = 105,813,400.76/11,802.19
  6. Step 6: Final answer
    x = 8,965.58

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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.