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Finding the Fourth Proportional to 8,044.54, 12,066.71 and 7,846

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Solution

The fourth proportional to 8,044.54, 12,066.71 and 7,846 is: 11,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,044.54 : 12,066.71 = 7,846 : x
  2. Step 2: Convert to fraction form
    8,044.54/12,066.71 = 7,846/x
  3. Step 3: Cross multiply
    8,044.54x = 12,066.71 × 7,846
  4. Step 4: Simplify right side
    8,044.54x = 94,675,406.66
  5. Step 5: Solve for x
    x = 94,675,406.66/8,044.54
  6. Step 6: Final answer
    x = 11,768.90

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Why These Related Problems?

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