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Finding the Fourth Proportional to 7,211.64, 9,949.14 and 5,090.26

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Solution

The fourth proportional to 7,211.64, 9,949.14 and 5,090.26 is: 7,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.64 : 9,949.14 = 5,090.26 : x
  2. Step 2: Convert to fraction form
    7,211.64/9,949.14 = 5,090.26/x
  3. Step 3: Cross multiply
    7,211.64x = 9,949.14 × 5,090.26
  4. Step 4: Simplify right side
    7,211.64x = 50,643,709.38
  5. Step 5: Solve for x
    x = 50,643,709.38/7,211.64
  6. Step 6: Final answer
    x = 7,022.50

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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.