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Finding the Fourth Proportional to 7,204.06, 10,806.10 and 1,732.06

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Solution

The fourth proportional to 7,204.06, 10,806.10 and 1,732.06 is: 2,598.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.06 : 10,806.10 = 1,732.06 : x
  2. Step 2: Convert to fraction form
    7,204.06/10,806.10 = 1,732.06/x
  3. Step 3: Cross multiply
    7,204.06x = 10,806.10 × 1,732.06
  4. Step 4: Simplify right side
    7,204.06x = 18,716,813.57
  5. Step 5: Solve for x
    x = 18,716,813.57/7,204.06
  6. Step 6: Final answer
    x = 2,598.09

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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.