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Finding the Fourth Proportional to 11,471.16, 17,206.16 and 3,679.36

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Solution

The fourth proportional to 11,471.16, 17,206.16 and 3,679.36 is: 5,518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.16 : 17,206.16 = 3,679.36 : x
  2. Step 2: Convert to fraction form
    11,471.16/17,206.16 = 3,679.36/x
  3. Step 3: Cross multiply
    11,471.16x = 17,206.16 × 3,679.36
  4. Step 4: Simplify right side
    11,471.16x = 63,307,656.86
  5. Step 5: Solve for x
    x = 63,307,656.86/11,471.16
  6. Step 6: Final answer
    x = 5,518.85

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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.