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Finding the Fourth Proportional to 12,085.92, 16,678.71 and 6,708.44

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Solution

The fourth proportional to 12,085.92, 16,678.71 and 6,708.44 is: 9,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.92 : 16,678.71 = 6,708.44 : x
  2. Step 2: Convert to fraction form
    12,085.92/16,678.71 = 6,708.44/x
  3. Step 3: Cross multiply
    12,085.92x = 16,678.71 × 6,708.44
  4. Step 4: Simplify right side
    12,085.92x = 111,888,041.92
  5. Step 5: Solve for x
    x = 111,888,041.92/12,085.92
  6. Step 6: Final answer
    x = 9,257.72

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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.