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Finding the Fourth Proportional to 8,111.84, 12,168.36 and 7,144.64

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Solution

The fourth proportional to 8,111.84, 12,168.36 and 7,144.64 is: 10,717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.84 : 12,168.36 = 7,144.64 : x
  2. Step 2: Convert to fraction form
    8,111.84/12,168.36 = 7,144.64/x
  3. Step 3: Cross multiply
    8,111.84x = 12,168.36 × 7,144.64
  4. Step 4: Simplify right side
    8,111.84x = 86,938,551.59
  5. Step 5: Solve for x
    x = 86,938,551.59/8,111.84
  6. Step 6: Final answer
    x = 10,717.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.