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Finding the Fourth Proportional to 12,072.90, 16,660.62 and 6,767.76

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Solution

The fourth proportional to 12,072.90, 16,660.62 and 6,767.76 is: 9,339.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072.90 : 16,660.62 = 6,767.76 : x
  2. Step 2: Convert to fraction form
    12,072.90/16,660.62 = 6,767.76/x
  3. Step 3: Cross multiply
    12,072.90x = 16,660.62 × 6,767.76
  4. Step 4: Simplify right side
    12,072.90x = 112,755,077.61
  5. Step 5: Solve for x
    x = 112,755,077.61/12,072.90
  6. Step 6: Final answer
    x = 9,339.52

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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.