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Finding the Fourth Proportional to 11,781.30, 16,257.98 and 6,476.01

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Solution

The fourth proportional to 11,781.30, 16,257.98 and 6,476.01 is: 8,936.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.30 : 16,257.98 = 6,476.01 : x
  2. Step 2: Convert to fraction form
    11,781.30/16,257.98 = 6,476.01/x
  3. Step 3: Cross multiply
    11,781.30x = 16,257.98 × 6,476.01
  4. Step 4: Simplify right side
    11,781.30x = 105,286,841.06
  5. Step 5: Solve for x
    x = 105,286,841.06/11,781.30
  6. Step 6: Final answer
    x = 8,936.78

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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.