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Finding the Fourth Proportional to 8,012.34, 12,013.83 and 5,382.90

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Solution

The fourth proportional to 8,012.34, 12,013.83 and 5,382.90 is: 8,071.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.34 : 12,013.83 = 5,382.90 : x
  2. Step 2: Convert to fraction form
    8,012.34/12,013.83 = 5,382.90/x
  3. Step 3: Cross multiply
    8,012.34x = 12,013.83 × 5,382.90
  4. Step 4: Simplify right side
    8,012.34x = 64,669,245.51
  5. Step 5: Solve for x
    x = 64,669,245.51/8,012.34
  6. Step 6: Final answer
    x = 8,071.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.