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Finding the Fourth Proportional to 11,786.66, 16,261.52 and 7,308.80

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Solution

The fourth proportional to 11,786.66, 16,261.52 and 7,308.80 is: 10,083.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.66 : 16,261.52 = 7,308.80 : x
  2. Step 2: Convert to fraction form
    11,786.66/16,261.52 = 7,308.80/x
  3. Step 3: Cross multiply
    11,786.66x = 16,261.52 × 7,308.80
  4. Step 4: Simplify right side
    11,786.66x = 118,852,197.38
  5. Step 5: Solve for x
    x = 118,852,197.38/11,786.66
  6. Step 6: Final answer
    x = 10,083.62

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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.