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Finding the Fourth Proportional to 11,775.96, 16,261.38 and 8,786.58

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Solution

The fourth proportional to 11,775.96, 16,261.38 and 8,786.58 is: 12,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.96 : 16,261.38 = 8,786.58 : x
  2. Step 2: Convert to fraction form
    11,775.96/16,261.38 = 8,786.58/x
  3. Step 3: Cross multiply
    11,775.96x = 16,261.38 × 8,786.58
  4. Step 4: Simplify right side
    11,775.96x = 142,881,916.28
  5. Step 5: Solve for x
    x = 142,881,916.28/11,775.96
  6. Step 6: Final answer
    x = 12,133.36

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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.