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Finding the Fourth Proportional to 7,111.08, 9,813.38 and 3,924.54

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Solution

The fourth proportional to 7,111.08, 9,813.38 and 3,924.54 is: 5,415.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.08 : 9,813.38 = 3,924.54 : x
  2. Step 2: Convert to fraction form
    7,111.08/9,813.38 = 3,924.54/x
  3. Step 3: Cross multiply
    7,111.08x = 9,813.38 × 3,924.54
  4. Step 4: Simplify right side
    7,111.08x = 38,512,982.72
  5. Step 5: Solve for x
    x = 38,512,982.72/7,111.08
  6. Step 6: Final answer
    x = 5,415.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.