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Finding the Fourth Proportional to 11,955.67, 16,502.58 and 8,177.38

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Solution

The fourth proportional to 11,955.67, 16,502.58 and 8,177.38 is: 11,287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,955.67 : 16,502.58 = 8,177.38 : x
  2. Step 2: Convert to fraction form
    11,955.67/16,502.58 = 8,177.38/x
  3. Step 3: Cross multiply
    11,955.67x = 16,502.58 × 8,177.38
  4. Step 4: Simplify right side
    11,955.67x = 134,947,826.38
  5. Step 5: Solve for x
    x = 134,947,826.38/11,955.67
  6. Step 6: Final answer
    x = 11,287.35

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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.