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Finding the Fourth Proportional to 11,705.35, 17,535.79 and 6,951.48

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Solution

The fourth proportional to 11,705.35, 17,535.79 and 6,951.48 is: 10,414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.35 : 17,535.79 = 6,951.48 : x
  2. Step 2: Convert to fraction form
    11,705.35/17,535.79 = 6,951.48/x
  3. Step 3: Cross multiply
    11,705.35x = 17,535.79 × 6,951.48
  4. Step 4: Simplify right side
    11,705.35x = 121,899,693.47
  5. Step 5: Solve for x
    x = 121,899,693.47/11,705.35
  6. Step 6: Final answer
    x = 10,414.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.