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Finding the Fourth Proportional to 7,694.48, 11,543.24 and 3,475.62

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Solution

The fourth proportional to 7,694.48, 11,543.24 and 3,475.62 is: 5,214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.48 : 11,543.24 = 3,475.62 : x
  2. Step 2: Convert to fraction form
    7,694.48/11,543.24 = 3,475.62/x
  3. Step 3: Cross multiply
    7,694.48x = 11,543.24 × 3,475.62
  4. Step 4: Simplify right side
    7,694.48x = 40,119,915.81
  5. Step 5: Solve for x
    x = 40,119,915.81/7,694.48
  6. Step 6: Final answer
    x = 5,214.12

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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.