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Finding the Fourth Proportional to 12,162.11, 16,783.49 and 6,856.93

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Solution

The fourth proportional to 12,162.11, 16,783.49 and 6,856.93 is: 9,462.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162.11 : 16,783.49 = 6,856.93 : x
  2. Step 2: Convert to fraction form
    12,162.11/16,783.49 = 6,856.93/x
  3. Step 3: Cross multiply
    12,162.11x = 16,783.49 × 6,856.93
  4. Step 4: Simplify right side
    12,162.11x = 115,083,216.09
  5. Step 5: Solve for x
    x = 115,083,216.09/12,162.11
  6. Step 6: Final answer
    x = 9,462.44

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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.