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Finding the Fourth Proportional to 11,437.60, 17,157.66 and 3,644.64

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Solution

The fourth proportional to 11,437.60, 17,157.66 and 3,644.64 is: 5,467.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.60 : 17,157.66 = 3,644.64 : x
  2. Step 2: Convert to fraction form
    11,437.60/17,157.66 = 3,644.64/x
  3. Step 3: Cross multiply
    11,437.60x = 17,157.66 × 3,644.64
  4. Step 4: Simplify right side
    11,437.60x = 62,533,493.94
  5. Step 5: Solve for x
    x = 62,533,493.94/11,437.60
  6. Step 6: Final answer
    x = 5,467.36

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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.