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Finding the Fourth Proportional to 12,081.49, 16,672.43 and 6,776.46

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Solution

The fourth proportional to 12,081.49, 16,672.43 and 6,776.46 is: 9,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,081.49 : 16,672.43 = 6,776.46 : x
  2. Step 2: Convert to fraction form
    12,081.49/16,672.43 = 6,776.46/x
  3. Step 3: Cross multiply
    12,081.49x = 16,672.43 × 6,776.46
  4. Step 4: Simplify right side
    12,081.49x = 112,980,071.94
  5. Step 5: Solve for x
    x = 112,980,071.94/12,081.49
  6. Step 6: Final answer
    x = 9,351.50

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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.