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Finding the Fourth Proportional to 7,108.56, 10,658.79 and 3,209.22

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Solution

The fourth proportional to 7,108.56, 10,658.79 and 3,209.22 is: 4,812.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.56 : 10,658.79 = 3,209.22 : x
  2. Step 2: Convert to fraction form
    7,108.56/10,658.79 = 3,209.22/x
  3. Step 3: Cross multiply
    7,108.56x = 10,658.79 × 3,209.22
  4. Step 4: Simplify right side
    7,108.56x = 34,206,402.04
  5. Step 5: Solve for x
    x = 34,206,402.04/7,108.56
  6. Step 6: Final answer
    x = 4,812.00

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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.