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Finding the Fourth Proportional to 8,551.77, 12,826.41 and 2,312.14

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Solution

The fourth proportional to 8,551.77, 12,826.41 and 2,312.14 is: 3,467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,551.77 : 12,826.41 = 2,312.14 : x
  2. Step 2: Convert to fraction form
    8,551.77/12,826.41 = 2,312.14/x
  3. Step 3: Cross multiply
    8,551.77x = 12,826.41 × 2,312.14
  4. Step 4: Simplify right side
    8,551.77x = 29,656,455.62
  5. Step 5: Solve for x
    x = 29,656,455.62/8,551.77
  6. Step 6: Final answer
    x = 3,467.88

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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.