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Finding the Fourth Proportional to 7,175.59, 10,764.49 and 3,663.69

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Solution

The fourth proportional to 7,175.59, 10,764.49 and 3,663.69 is: 5,496.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.59 : 10,764.49 = 3,663.69 : x
  2. Step 2: Convert to fraction form
    7,175.59/10,764.49 = 3,663.69/x
  3. Step 3: Cross multiply
    7,175.59x = 10,764.49 × 3,663.69
  4. Step 4: Simplify right side
    7,175.59x = 39,437,754.37
  5. Step 5: Solve for x
    x = 39,437,754.37/7,175.59
  6. Step 6: Final answer
    x = 5,496.10

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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.