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Finding the Fourth Proportional to 7,814.44, 11,723.01 and 3,432.34

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Solution

The fourth proportional to 7,814.44, 11,723.01 and 3,432.34 is: 5,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.44 : 11,723.01 = 3,432.34 : x
  2. Step 2: Convert to fraction form
    7,814.44/11,723.01 = 3,432.34/x
  3. Step 3: Cross multiply
    7,814.44x = 11,723.01 × 3,432.34
  4. Step 4: Simplify right side
    7,814.44x = 40,237,356.14
  5. Step 5: Solve for x
    x = 40,237,356.14/7,814.44
  6. Step 6: Final answer
    x = 5,149.10

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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.