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Finding the Fourth Proportional to 8,340.57, 12,508.83 and 2,416.23

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Solution

The fourth proportional to 8,340.57, 12,508.83 and 2,416.23 is: 3,623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.57 : 12,508.83 = 2,416.23 : x
  2. Step 2: Convert to fraction form
    8,340.57/12,508.83 = 2,416.23/x
  3. Step 3: Cross multiply
    8,340.57x = 12,508.83 × 2,416.23
  4. Step 4: Simplify right side
    8,340.57x = 30,224,210.31
  5. Step 5: Solve for x
    x = 30,224,210.31/8,340.57
  6. Step 6: Final answer
    x = 3,623.76

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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.