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Finding the Fourth Proportional to 7,105.77, 10,658.66 and 2,175.39

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Solution

The fourth proportional to 7,105.77, 10,658.66 and 2,175.39 is: 3,263.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.77 : 10,658.66 = 2,175.39 : x
  2. Step 2: Convert to fraction form
    7,105.77/10,658.66 = 2,175.39/x
  3. Step 3: Cross multiply
    7,105.77x = 10,658.66 × 2,175.39
  4. Step 4: Simplify right side
    7,105.77x = 23,186,731.50
  5. Step 5: Solve for x
    x = 23,186,731.50/7,105.77
  6. Step 6: Final answer
    x = 3,263.09

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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.