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Finding the Fourth Proportional to 10,684.77, 16,028.99 and 3,289.07

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Solution

The fourth proportional to 10,684.77, 16,028.99 and 3,289.07 is: 4,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.77 : 16,028.99 = 3,289.07 : x
  2. Step 2: Convert to fraction form
    10,684.77/16,028.99 = 3,289.07/x
  3. Step 3: Cross multiply
    10,684.77x = 16,028.99 × 3,289.07
  4. Step 4: Simplify right side
    10,684.77x = 52,720,373.55
  5. Step 5: Solve for x
    x = 52,720,373.55/10,684.77
  6. Step 6: Final answer
    x = 4,934.16

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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.