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Finding the Fourth Proportional to 10,097.54, 13,935.12 and 5,621.38

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Solution

The fourth proportional to 10,097.54, 13,935.12 and 5,621.38 is: 7,757.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.54 : 13,935.12 = 5,621.38 : x
  2. Step 2: Convert to fraction form
    10,097.54/13,935.12 = 5,621.38/x
  3. Step 3: Cross multiply
    10,097.54x = 13,935.12 × 5,621.38
  4. Step 4: Simplify right side
    10,097.54x = 78,334,604.87
  5. Step 5: Solve for x
    x = 78,334,604.87/10,097.54
  6. Step 6: Final answer
    x = 7,757.79

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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.