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Finding the Fourth Proportional to 11,562.54, 17,343.81 and 5,713.26

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Solution

The fourth proportional to 11,562.54, 17,343.81 and 5,713.26 is: 8,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.54 : 17,343.81 = 5,713.26 : x
  2. Step 2: Convert to fraction form
    11,562.54/17,343.81 = 5,713.26/x
  3. Step 3: Cross multiply
    11,562.54x = 17,343.81 × 5,713.26
  4. Step 4: Simplify right side
    11,562.54x = 99,089,695.92
  5. Step 5: Solve for x
    x = 99,089,695.92/11,562.54
  6. Step 6: Final answer
    x = 8,569.89

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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.