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Finding the Fourth Proportional to 7,530.75, 10,392.37 and 4,173.75

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Solution

The fourth proportional to 7,530.75, 10,392.37 and 4,173.75 is: 5,759.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.75 : 10,392.37 = 4,173.75 : x
  2. Step 2: Convert to fraction form
    7,530.75/10,392.37 = 4,173.75/x
  3. Step 3: Cross multiply
    7,530.75x = 10,392.37 × 4,173.75
  4. Step 4: Simplify right side
    7,530.75x = 43,375,154.29
  5. Step 5: Solve for x
    x = 43,375,154.29/7,530.75
  6. Step 6: Final answer
    x = 5,759.74

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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.