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Finding the Fourth Proportional to 8,509.82, 12,767.51 and 2,586.95

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Solution

The fourth proportional to 8,509.82, 12,767.51 and 2,586.95 is: 3,881.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.82 : 12,767.51 = 2,586.95 : x
  2. Step 2: Convert to fraction form
    8,509.82/12,767.51 = 2,586.95/x
  3. Step 3: Cross multiply
    8,509.82x = 12,767.51 × 2,586.95
  4. Step 4: Simplify right side
    8,509.82x = 33,028,900.50
  5. Step 5: Solve for x
    x = 33,028,900.50/8,509.82
  6. Step 6: Final answer
    x = 3,881.27

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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.