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Finding the Fourth Proportional to 12,162.77, 16,784.73 and 6,785.69

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Solution

The fourth proportional to 12,162.77, 16,784.73 and 6,785.69 is: 9,364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162.77 : 16,784.73 = 6,785.69 : x
  2. Step 2: Convert to fraction form
    12,162.77/16,784.73 = 6,785.69/x
  3. Step 3: Cross multiply
    12,162.77x = 16,784.73 × 6,785.69
  4. Step 4: Simplify right side
    12,162.77x = 113,895,890.59
  5. Step 5: Solve for x
    x = 113,895,890.59/12,162.77
  6. Step 6: Final answer
    x = 9,364.31

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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.