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Finding the Fourth Proportional to 8,006.16, 12,012.84 and 4,113.30

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Solution

The fourth proportional to 8,006.16, 12,012.84 and 4,113.30 is: 6,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.16 : 12,012.84 = 4,113.30 : x
  2. Step 2: Convert to fraction form
    8,006.16/12,012.84 = 4,113.30/x
  3. Step 3: Cross multiply
    8,006.16x = 12,012.84 × 4,113.30
  4. Step 4: Simplify right side
    8,006.16x = 49,412,414.77
  5. Step 5: Solve for x
    x = 49,412,414.77/8,006.16
  6. Step 6: Final answer
    x = 6,171.80

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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.