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Finding the Fourth Proportional to 7,552.94, 10,422.86 and 4,195.71

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Solution

The fourth proportional to 7,552.94, 10,422.86 and 4,195.71 is: 5,789.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,552.94 : 10,422.86 = 4,195.71 : x
  2. Step 2: Convert to fraction form
    7,552.94/10,422.86 = 4,195.71/x
  3. Step 3: Cross multiply
    7,552.94x = 10,422.86 × 4,195.71
  4. Step 4: Simplify right side
    7,552.94x = 43,731,276.95
  5. Step 5: Solve for x
    x = 43,731,276.95/7,552.94
  6. Step 6: Final answer
    x = 5,789.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.