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Finding the Fourth Proportional to 8,467.82, 12,709.94 and 4,088.36

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Solution

The fourth proportional to 8,467.82, 12,709.94 and 4,088.36 is: 6,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467.82 : 12,709.94 = 4,088.36 : x
  2. Step 2: Convert to fraction form
    8,467.82/12,709.94 = 4,088.36/x
  3. Step 3: Cross multiply
    8,467.82x = 12,709.94 × 4,088.36
  4. Step 4: Simplify right side
    8,467.82x = 51,962,810.30
  5. Step 5: Solve for x
    x = 51,962,810.30/8,467.82
  6. Step 6: Final answer
    x = 6,136.50

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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.