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Finding the Fourth Proportional to 11,594.64, 17,375.76 and 5,745.36

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Solution

The fourth proportional to 11,594.64, 17,375.76 and 5,745.36 is: 8,610.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.64 : 17,375.76 = 5,745.36 : x
  2. Step 2: Convert to fraction form
    11,594.64/17,375.76 = 5,745.36/x
  3. Step 3: Cross multiply
    11,594.64x = 17,375.76 × 5,745.36
  4. Step 4: Simplify right side
    11,594.64x = 99,829,996.47
  5. Step 5: Solve for x
    x = 99,829,996.47/11,594.64
  6. Step 6: Final answer
    x = 8,610.01

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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.