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Finding the Fourth Proportional to 7,573.38, 10,454.49 and 5,090.82

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Solution

The fourth proportional to 7,573.38, 10,454.49 and 5,090.82 is: 7,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.38 : 10,454.49 = 5,090.82 : x
  2. Step 2: Convert to fraction form
    7,573.38/10,454.49 = 5,090.82/x
  3. Step 3: Cross multiply
    7,573.38x = 10,454.49 × 5,090.82
  4. Step 4: Simplify right side
    7,573.38x = 53,221,926.78
  5. Step 5: Solve for x
    x = 53,221,926.78/7,573.38
  6. Step 6: Final answer
    x = 7,027.50

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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.