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Finding the Fourth Proportional to 8,012.95, 11,998.39 and 5,660.23

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Solution

The fourth proportional to 8,012.95, 11,998.39 and 5,660.23 is: 8,475.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.95 : 11,998.39 = 5,660.23 : x
  2. Step 2: Convert to fraction form
    8,012.95/11,998.39 = 5,660.23/x
  3. Step 3: Cross multiply
    8,012.95x = 11,998.39 × 5,660.23
  4. Step 4: Simplify right side
    8,012.95x = 67,913,572.89
  5. Step 5: Solve for x
    x = 67,913,572.89/8,012.95
  6. Step 6: Final answer
    x = 8,475.48

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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.