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Finding the Fourth Proportional to 11,656.70, 17,474.06 and 5,807.78

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Solution

The fourth proportional to 11,656.70, 17,474.06 and 5,807.78 is: 8,706.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.70 : 17,474.06 = 5,807.78 : x
  2. Step 2: Convert to fraction form
    11,656.70/17,474.06 = 5,807.78/x
  3. Step 3: Cross multiply
    11,656.70x = 17,474.06 × 5,807.78
  4. Step 4: Simplify right side
    11,656.70x = 101,485,496.19
  5. Step 5: Solve for x
    x = 101,485,496.19/11,656.70
  6. Step 6: Final answer
    x = 8,706.19

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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.