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Finding the Fourth Proportional to 11,781.37, 16,258.08 and 6,476.14

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Solution

The fourth proportional to 11,781.37, 16,258.08 and 6,476.14 is: 8,936.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.37 : 16,258.08 = 6,476.14 : x
  2. Step 2: Convert to fraction form
    11,781.37/16,258.08 = 6,476.14/x
  3. Step 3: Cross multiply
    11,781.37x = 16,258.08 × 6,476.14
  4. Step 4: Simplify right side
    11,781.37x = 105,289,602.21
  5. Step 5: Solve for x
    x = 105,289,602.21/11,781.37
  6. Step 6: Final answer
    x = 8,936.96

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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.