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Finding the Fourth Proportional to 7,573.05, 10,454.58 and 5,867.73

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Solution

The fourth proportional to 7,573.05, 10,454.58 and 5,867.73 is: 8,100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.05 : 10,454.58 = 5,867.73 : x
  2. Step 2: Convert to fraction form
    7,573.05/10,454.58 = 5,867.73/x
  3. Step 3: Cross multiply
    7,573.05x = 10,454.58 × 5,867.73
  4. Step 4: Simplify right side
    7,573.05x = 61,344,652.70
  5. Step 5: Solve for x
    x = 61,344,652.70/7,573.05
  6. Step 6: Final answer
    x = 8,100.39

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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.