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Finding the Fourth Proportional to 11,377.96, 15,695.28 and 6,661.36

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Solution

The fourth proportional to 11,377.96, 15,695.28 and 6,661.36 is: 9,188.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377.96 : 15,695.28 = 6,661.36 : x
  2. Step 2: Convert to fraction form
    11,377.96/15,695.28 = 6,661.36/x
  3. Step 3: Cross multiply
    11,377.96x = 15,695.28 × 6,661.36
  4. Step 4: Simplify right side
    11,377.96x = 104,551,910.38
  5. Step 5: Solve for x
    x = 104,551,910.38/11,377.96
  6. Step 6: Final answer
    x = 9,188.99

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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.