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Finding the Fourth Proportional to 11,967.33, 16,497.79 and 8,419.53

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Solution

The fourth proportional to 11,967.33, 16,497.79 and 8,419.53 is: 11,606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.33 : 16,497.79 = 8,419.53 : x
  2. Step 2: Convert to fraction form
    11,967.33/16,497.79 = 8,419.53/x
  3. Step 3: Cross multiply
    11,967.33x = 16,497.79 × 8,419.53
  4. Step 4: Simplify right side
    11,967.33x = 138,903,637.84
  5. Step 5: Solve for x
    x = 138,903,637.84/11,967.33
  6. Step 6: Final answer
    x = 11,606.90

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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.