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Finding the Fourth Proportional to 12,107.78, 16,704.58 and 7,864.14

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Solution

The fourth proportional to 12,107.78, 16,704.58 and 7,864.14 is: 10,849.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.78 : 16,704.58 = 7,864.14 : x
  2. Step 2: Convert to fraction form
    12,107.78/16,704.58 = 7,864.14/x
  3. Step 3: Cross multiply
    12,107.78x = 16,704.58 × 7,864.14
  4. Step 4: Simplify right side
    12,107.78x = 131,367,225.23
  5. Step 5: Solve for x
    x = 131,367,225.23/12,107.78
  6. Step 6: Final answer
    x = 10,849.82

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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.