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Finding the Fourth Proportional to 11,564.57, 17,344.94 and 3,771.56

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Solution

The fourth proportional to 11,564.57, 17,344.94 and 3,771.56 is: 5,656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.57 : 17,344.94 = 3,771.56 : x
  2. Step 2: Convert to fraction form
    11,564.57/17,344.94 = 3,771.56/x
  3. Step 3: Cross multiply
    11,564.57x = 17,344.94 × 3,771.56
  4. Step 4: Simplify right side
    11,564.57x = 65,417,506.41
  5. Step 5: Solve for x
    x = 65,417,506.41/11,564.57
  6. Step 6: Final answer
    x = 5,656.72

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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.