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Finding the Fourth Proportional to 7,812.72, 11,709.36 and 3,432.24

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Solution

The fourth proportional to 7,812.72, 11,709.36 and 3,432.24 is: 5,144.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.72 : 11,709.36 = 3,432.24 : x
  2. Step 2: Convert to fraction form
    7,812.72/11,709.36 = 3,432.24/x
  3. Step 3: Cross multiply
    7,812.72x = 11,709.36 × 3,432.24
  4. Step 4: Simplify right side
    7,812.72x = 40,189,333.77
  5. Step 5: Solve for x
    x = 40,189,333.77/7,812.72
  6. Step 6: Final answer
    x = 5,144.09

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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.