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Finding the Fourth Proportional to 11,659.76, 17,472.63 and 5,808.32

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Solution

The fourth proportional to 11,659.76, 17,472.63 and 5,808.32 is: 8,704.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.76 : 17,472.63 = 5,808.32 : x
  2. Step 2: Convert to fraction form
    11,659.76/17,472.63 = 5,808.32/x
  3. Step 3: Cross multiply
    11,659.76x = 17,472.63 × 5,808.32
  4. Step 4: Simplify right side
    11,659.76x = 101,486,626.28
  5. Step 5: Solve for x
    x = 101,486,626.28/11,659.76
  6. Step 6: Final answer
    x = 8,704.01

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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.