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Finding the Fourth Proportional to 8,005.19, 12,012.02 and 5,680.22

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Solution

The fourth proportional to 8,005.19, 12,012.02 and 5,680.22 is: 8,523.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.19 : 12,012.02 = 5,680.22 : x
  2. Step 2: Convert to fraction form
    8,005.19/12,012.02 = 5,680.22/x
  3. Step 3: Cross multiply
    8,005.19x = 12,012.02 × 5,680.22
  4. Step 4: Simplify right side
    8,005.19x = 68,230,916.24
  5. Step 5: Solve for x
    x = 68,230,916.24/8,005.19
  6. Step 6: Final answer
    x = 8,523.34

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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.