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Finding the Fourth Proportional to 7,295.72, 10,941.96 and 3,398

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Solution

The fourth proportional to 7,295.72, 10,941.96 and 3,398 is: 5,096.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.72 : 10,941.96 = 3,398 : x
  2. Step 2: Convert to fraction form
    7,295.72/10,941.96 = 3,398/x
  3. Step 3: Cross multiply
    7,295.72x = 10,941.96 × 3,398
  4. Step 4: Simplify right side
    7,295.72x = 37,180,780.08
  5. Step 5: Solve for x
    x = 37,180,780.08/7,295.72
  6. Step 6: Final answer
    x = 5,096.25

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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.