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Finding the Fourth Proportional to 8,414.87, 12,624.15 and 2,571.93

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Solution

The fourth proportional to 8,414.87, 12,624.15 and 2,571.93 is: 3,858.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.87 : 12,624.15 = 2,571.93 : x
  2. Step 2: Convert to fraction form
    8,414.87/12,624.15 = 2,571.93/x
  3. Step 3: Cross multiply
    8,414.87x = 12,624.15 × 2,571.93
  4. Step 4: Simplify right side
    8,414.87x = 32,468,430.11
  5. Step 5: Solve for x
    x = 32,468,430.11/8,414.87
  6. Step 6: Final answer
    x = 3,858.46

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Why These Related Problems?

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