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Finding the Fourth Proportional to 27,705.06, 41,557.56 and 6,928.56

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Solution

The fourth proportional to 27,705.06, 41,557.56 and 6,928.56 is: 10,392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705.06 : 41,557.56 = 6,928.56 : x
  2. Step 2: Convert to fraction form
    27,705.06/41,557.56 = 6,928.56/x
  3. Step 3: Cross multiply
    27,705.06x = 41,557.56 × 6,928.56
  4. Step 4: Simplify right side
    27,705.06x = 287,934,047.91
  5. Step 5: Solve for x
    x = 287,934,047.91/27,705.06
  6. Step 6: Final answer
    x = 10,392.83

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Why These Related Problems?

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