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Finding the Fourth Proportional to 11,202.84, 15,456.78 and 6,951.87

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Solution

The fourth proportional to 11,202.84, 15,456.78 and 6,951.87 is: 9,591.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.84 : 15,456.78 = 6,951.87 : x
  2. Step 2: Convert to fraction form
    11,202.84/15,456.78 = 6,951.87/x
  3. Step 3: Cross multiply
    11,202.84x = 15,456.78 × 6,951.87
  4. Step 4: Simplify right side
    11,202.84x = 107,453,525.18
  5. Step 5: Solve for x
    x = 107,453,525.18/11,202.84
  6. Step 6: Final answer
    x = 9,591.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.