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Finding the Fourth Proportional to 7,199.87, 9,935.92 and 4,013.08

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Solution

The fourth proportional to 7,199.87, 9,935.92 and 4,013.08 is: 5,538.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.87 : 9,935.92 = 4,013.08 : x
  2. Step 2: Convert to fraction form
    7,199.87/9,935.92 = 4,013.08/x
  3. Step 3: Cross multiply
    7,199.87x = 9,935.92 × 4,013.08
  4. Step 4: Simplify right side
    7,199.87x = 39,873,627.03
  5. Step 5: Solve for x
    x = 39,873,627.03/7,199.87
  6. Step 6: Final answer
    x = 5,538.10

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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.