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Finding the Fourth Proportional to 7,199.26, 9,935.08 and 4,012.46

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Solution

The fourth proportional to 7,199.26, 9,935.08 and 4,012.46 is: 5,537.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.26 : 9,935.08 = 4,012.46 : x
  2. Step 2: Convert to fraction form
    7,199.26/9,935.08 = 4,012.46/x
  3. Step 3: Cross multiply
    7,199.26x = 9,935.08 × 4,012.46
  4. Step 4: Simplify right side
    7,199.26x = 39,864,125.90
  5. Step 5: Solve for x
    x = 39,864,125.90/7,199.26
  6. Step 6: Final answer
    x = 5,537.26

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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.