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Finding the Fourth Proportional to 8,813.16, 13,219.50 and 2,149.68

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Solution

The fourth proportional to 8,813.16, 13,219.50 and 2,149.68 is: 3,224.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,813.16 : 13,219.50 = 2,149.68 : x
  2. Step 2: Convert to fraction form
    8,813.16/13,219.50 = 2,149.68/x
  3. Step 3: Cross multiply
    8,813.16x = 13,219.50 × 2,149.68
  4. Step 4: Simplify right side
    8,813.16x = 28,417,694.76
  5. Step 5: Solve for x
    x = 28,417,694.76/8,813.16
  6. Step 6: Final answer
    x = 3,224.46

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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.