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Finding the Fourth Proportional to 11,807.87, 17,707.64 and 3,485.66

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Solution

The fourth proportional to 11,807.87, 17,707.64 and 3,485.66 is: 5,227.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.87 : 17,707.64 = 3,485.66 : x
  2. Step 2: Convert to fraction form
    11,807.87/17,707.64 = 3,485.66/x
  3. Step 3: Cross multiply
    11,807.87x = 17,707.64 × 3,485.66
  4. Step 4: Simplify right side
    11,807.87x = 61,722,812.44
  5. Step 5: Solve for x
    x = 61,722,812.44/11,807.87
  6. Step 6: Final answer
    x = 5,227.26

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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.