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Finding the Fourth Proportional to 7,357.50, 11,028.96 and 3,454.92

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Solution

The fourth proportional to 7,357.50, 11,028.96 and 3,454.92 is: 5,178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.50 : 11,028.96 = 3,454.92 : x
  2. Step 2: Convert to fraction form
    7,357.50/11,028.96 = 3,454.92/x
  3. Step 3: Cross multiply
    7,357.50x = 11,028.96 × 3,454.92
  4. Step 4: Simplify right side
    7,357.50x = 38,104,174.48
  5. Step 5: Solve for x
    x = 38,104,174.48/7,357.50
  6. Step 6: Final answer
    x = 5,178.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.