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Finding the Fourth Proportional to 11,525.64, 17,289.16 and 3,628.42

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Solution

The fourth proportional to 11,525.64, 17,289.16 and 3,628.42 is: 5,442.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,525.64 : 17,289.16 = 3,628.42 : x
  2. Step 2: Convert to fraction form
    11,525.64/17,289.16 = 3,628.42/x
  3. Step 3: Cross multiply
    11,525.64x = 17,289.16 × 3,628.42
  4. Step 4: Simplify right side
    11,525.64x = 62,732,229.34
  5. Step 5: Solve for x
    x = 62,732,229.34/11,525.64
  6. Step 6: Final answer
    x = 5,442.84

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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.