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Finding the Fourth Proportional to 11,657.70, 17,475.57 and 5,808.78

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Solution

The fourth proportional to 11,657.70, 17,475.57 and 5,808.78 is: 8,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.70 : 17,475.57 = 5,808.78 : x
  2. Step 2: Convert to fraction form
    11,657.70/17,475.57 = 5,808.78/x
  3. Step 3: Cross multiply
    11,657.70x = 17,475.57 × 5,808.78
  4. Step 4: Simplify right side
    11,657.70x = 101,511,741.50
  5. Step 5: Solve for x
    x = 101,511,741.50/11,657.70
  6. Step 6: Final answer
    x = 8,707.70

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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.