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Finding the Fourth Proportional to 11,342.81, 17,024.75 and 5,800.12

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Solution

The fourth proportional to 11,342.81, 17,024.75 and 5,800.12 is: 8,705.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.81 : 17,024.75 = 5,800.12 : x
  2. Step 2: Convert to fraction form
    11,342.81/17,024.75 = 5,800.12/x
  3. Step 3: Cross multiply
    11,342.81x = 17,024.75 × 5,800.12
  4. Step 4: Simplify right side
    11,342.81x = 98,745,592.97
  5. Step 5: Solve for x
    x = 98,745,592.97/11,342.81
  6. Step 6: Final answer
    x = 8,705.57

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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.