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Finding the Fourth Proportional to 8,467.76, 11,687.82 and 5,110.68

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Solution

The fourth proportional to 8,467.76, 11,687.82 and 5,110.68 is: 7,054.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467.76 : 11,687.82 = 5,110.68 : x
  2. Step 2: Convert to fraction form
    8,467.76/11,687.82 = 5,110.68/x
  3. Step 3: Cross multiply
    8,467.76x = 11,687.82 × 5,110.68
  4. Step 4: Simplify right side
    8,467.76x = 59,732,707.92
  5. Step 5: Solve for x
    x = 59,732,707.92/8,467.76
  6. Step 6: Final answer
    x = 7,054.13

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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.