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Finding the Fourth Proportional to 11,356.24, 17,042.64 and 5,814.22

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Solution

The fourth proportional to 11,356.24, 17,042.64 and 5,814.22 is: 8,725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,356.24 : 17,042.64 = 5,814.22 : x
  2. Step 2: Convert to fraction form
    11,356.24/17,042.64 = 5,814.22/x
  3. Step 3: Cross multiply
    11,356.24x = 17,042.64 × 5,814.22
  4. Step 4: Simplify right side
    11,356.24x = 99,089,658.34
  5. Step 5: Solve for x
    x = 99,089,658.34/11,356.24
  6. Step 6: Final answer
    x = 8,725.57

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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.