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Finding the Fourth Proportional to 8,709.78, 12,011.31 and 6,717.18

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Solution

The fourth proportional to 8,709.78, 12,011.31 and 6,717.18 is: 9,263.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.78 : 12,011.31 = 6,717.18 : x
  2. Step 2: Convert to fraction form
    8,709.78/12,011.31 = 6,717.18/x
  3. Step 3: Cross multiply
    8,709.78x = 12,011.31 × 6,717.18
  4. Step 4: Simplify right side
    8,709.78x = 80,682,131.31
  5. Step 5: Solve for x
    x = 80,682,131.31/8,709.78
  6. Step 6: Final answer
    x = 9,263.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.