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Finding the Fourth Proportional to 11,557.64, 17,339.34 and 3,767.24

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Solution

The fourth proportional to 11,557.64, 17,339.34 and 3,767.24 is: 5,651.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.64 : 17,339.34 = 3,767.24 : x
  2. Step 2: Convert to fraction form
    11,557.64/17,339.34 = 3,767.24/x
  3. Step 3: Cross multiply
    11,557.64x = 17,339.34 × 3,767.24
  4. Step 4: Simplify right side
    11,557.64x = 65,321,455.22
  5. Step 5: Solve for x
    x = 65,321,455.22/11,557.64
  6. Step 6: Final answer
    x = 5,651.80

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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.