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Finding the Fourth Proportional to 12,161.83, 16,783.34 and 6,856.63

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Solution

The fourth proportional to 12,161.83, 16,783.34 and 6,856.63 is: 9,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.83 : 16,783.34 = 6,856.63 : x
  2. Step 2: Convert to fraction form
    12,161.83/16,783.34 = 6,856.63/x
  3. Step 3: Cross multiply
    12,161.83x = 16,783.34 × 6,856.63
  4. Step 4: Simplify right side
    12,161.83x = 115,077,169.69
  5. Step 5: Solve for x
    x = 115,077,169.69/12,161.83
  6. Step 6: Final answer
    x = 9,462.16

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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.