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Finding the Fourth Proportional to 7,197.93, 10,786.31 and 3,495.93

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Solution

The fourth proportional to 7,197.93, 10,786.31 and 3,495.93 is: 5,238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.93 : 10,786.31 = 3,495.93 : x
  2. Step 2: Convert to fraction form
    7,197.93/10,786.31 = 3,495.93/x
  3. Step 3: Cross multiply
    7,197.93x = 10,786.31 × 3,495.93
  4. Step 4: Simplify right side
    7,197.93x = 37,708,167.24
  5. Step 5: Solve for x
    x = 37,708,167.24/7,197.93
  6. Step 6: Final answer
    x = 5,238.75

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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.