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Finding the Fourth Proportional to 7,204.32, 10,806.48 and 1,732.32

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Solution

The fourth proportional to 7,204.32, 10,806.48 and 1,732.32 is: 2,598.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.32 : 10,806.48 = 1,732.32 : x
  2. Step 2: Convert to fraction form
    7,204.32/10,806.48 = 1,732.32/x
  3. Step 3: Cross multiply
    7,204.32x = 10,806.48 × 1,732.32
  4. Step 4: Simplify right side
    7,204.32x = 18,720,281.43
  5. Step 5: Solve for x
    x = 18,720,281.43/7,204.32
  6. Step 6: Final answer
    x = 2,598.48

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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.