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Finding the Fourth Proportional to 10,684.34, 16,028.01 and 3,289.40

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Solution

The fourth proportional to 10,684.34, 16,028.01 and 3,289.40 is: 4,934.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.34 : 16,028.01 = 3,289.40 : x
  2. Step 2: Convert to fraction form
    10,684.34/16,028.01 = 3,289.40/x
  3. Step 3: Cross multiply
    10,684.34x = 16,028.01 × 3,289.40
  4. Step 4: Simplify right side
    10,684.34x = 52,722,455.95
  5. Step 5: Solve for x
    x = 52,722,455.95/10,684.34
  6. Step 6: Final answer
    x = 4,934.56

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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.