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Finding the Fourth Proportional to 10,782.64, 16,173.96 and 4,936.24

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Solution

The fourth proportional to 10,782.64, 16,173.96 and 4,936.24 is: 7,404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.64 : 16,173.96 = 4,936.24 : x
  2. Step 2: Convert to fraction form
    10,782.64/16,173.96 = 4,936.24/x
  3. Step 3: Cross multiply
    10,782.64x = 16,173.96 × 4,936.24
  4. Step 4: Simplify right side
    10,782.64x = 79,838,548.31
  5. Step 5: Solve for x
    x = 79,838,548.31/10,782.64
  6. Step 6: Final answer
    x = 7,404.36

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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.