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Finding the Fourth Proportional to 11,798.87, 16,282.82 and 6,494.18

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Solution

The fourth proportional to 11,798.87, 16,282.82 and 6,494.18 is: 8,962.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.87 : 16,282.82 = 6,494.18 : x
  2. Step 2: Convert to fraction form
    11,798.87/16,282.82 = 6,494.18/x
  3. Step 3: Cross multiply
    11,798.87x = 16,282.82 × 6,494.18
  4. Step 4: Simplify right side
    11,798.87x = 105,743,498.81
  5. Step 5: Solve for x
    x = 105,743,498.81/11,798.87
  6. Step 6: Final answer
    x = 8,962.18

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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.