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Finding the Fourth Proportional to 7,530.70, 10,391.34 and 4,172.70

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Solution

The fourth proportional to 7,530.70, 10,391.34 and 4,172.70 is: 5,757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.70 : 10,391.34 = 4,172.70 : x
  2. Step 2: Convert to fraction form
    7,530.70/10,391.34 = 4,172.70/x
  3. Step 3: Cross multiply
    7,530.70x = 10,391.34 × 4,172.70
  4. Step 4: Simplify right side
    7,530.70x = 43,359,944.42
  5. Step 5: Solve for x
    x = 43,359,944.42/7,530.70
  6. Step 6: Final answer
    x = 5,757.76

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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.