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Finding the Fourth Proportional to 12,118.43, 16,712.15 and 7,864.94

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Solution

The fourth proportional to 12,118.43, 16,712.15 and 7,864.94 is: 10,846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,118.43 : 16,712.15 = 7,864.94 : x
  2. Step 2: Convert to fraction form
    12,118.43/16,712.15 = 7,864.94/x
  3. Step 3: Cross multiply
    12,118.43x = 16,712.15 × 7,864.94
  4. Step 4: Simplify right side
    12,118.43x = 131,440,059.48
  5. Step 5: Solve for x
    x = 131,440,059.48/12,118.43
  6. Step 6: Final answer
    x = 10,846.29

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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.