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Finding the Fourth Proportional to 10,684.08, 16,025.04 and 7,214.04

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Solution

The fourth proportional to 10,684.08, 16,025.04 and 7,214.04 is: 10,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.08 : 16,025.04 = 7,214.04 : x
  2. Step 2: Convert to fraction form
    10,684.08/16,025.04 = 7,214.04/x
  3. Step 3: Cross multiply
    10,684.08x = 16,025.04 × 7,214.04
  4. Step 4: Simplify right side
    10,684.08x = 115,605,279.56
  5. Step 5: Solve for x
    x = 115,605,279.56/10,684.08
  6. Step 6: Final answer
    x = 10,820.33

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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.