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Finding the Fourth Proportional to 8,571.74, 12,856.66 and 3,024.05

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Solution

The fourth proportional to 8,571.74, 12,856.66 and 3,024.05 is: 4,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.74 : 12,856.66 = 3,024.05 : x
  2. Step 2: Convert to fraction form
    8,571.74/12,856.66 = 3,024.05/x
  3. Step 3: Cross multiply
    8,571.74x = 12,856.66 × 3,024.05
  4. Step 4: Simplify right side
    8,571.74x = 38,879,110.83
  5. Step 5: Solve for x
    x = 38,879,110.83/8,571.74
  6. Step 6: Final answer
    x = 4,535.73

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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.