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Finding the Fourth Proportional to 7,204.38, 10,806.57 and 1,732.38

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Solution

The fourth proportional to 7,204.38, 10,806.57 and 1,732.38 is: 2,598.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.38 : 10,806.57 = 1,732.38 : x
  2. Step 2: Convert to fraction form
    7,204.38/10,806.57 = 1,732.38/x
  3. Step 3: Cross multiply
    7,204.38x = 10,806.57 × 1,732.38
  4. Step 4: Simplify right side
    7,204.38x = 18,721,085.74
  5. Step 5: Solve for x
    x = 18,721,085.74/7,204.38
  6. Step 6: Final answer
    x = 2,598.57

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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.