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Finding the Fourth Proportional to 7,475.78, 11,207.54 and 3,525.14

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Solution

The fourth proportional to 7,475.78, 11,207.54 and 3,525.14 is: 5,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.78 : 11,207.54 = 3,525.14 : x
  2. Step 2: Convert to fraction form
    7,475.78/11,207.54 = 3,525.14/x
  3. Step 3: Cross multiply
    7,475.78x = 11,207.54 × 3,525.14
  4. Step 4: Simplify right side
    7,475.78x = 39,508,147.56
  5. Step 5: Solve for x
    x = 39,508,147.56/7,475.78
  6. Step 6: Final answer
    x = 5,284.82

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