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Finding the Fourth Proportional to 7,103.80, 10,656.42 and 1,910.20

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Solution

The fourth proportional to 7,103.80, 10,656.42 and 1,910.20 is: 2,865.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.80 : 10,656.42 = 1,910.20 : x
  2. Step 2: Convert to fraction form
    7,103.80/10,656.42 = 1,910.20/x
  3. Step 3: Cross multiply
    7,103.80x = 10,656.42 × 1,910.20
  4. Step 4: Simplify right side
    7,103.80x = 20,355,893.48
  5. Step 5: Solve for x
    x = 20,355,893.48/7,103.80
  6. Step 6: Final answer
    x = 2,865.49

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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.