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Finding the Fourth Proportional to 10,197.64, 14,072.52 and 5,722.48

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Solution

The fourth proportional to 10,197.64, 14,072.52 and 5,722.48 is: 7,896.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.64 : 14,072.52 = 5,722.48 : x
  2. Step 2: Convert to fraction form
    10,197.64/14,072.52 = 5,722.48/x
  3. Step 3: Cross multiply
    10,197.64x = 14,072.52 × 5,722.48
  4. Step 4: Simplify right side
    10,197.64x = 80,529,700.53
  5. Step 5: Solve for x
    x = 80,529,700.53/10,197.64
  6. Step 6: Final answer
    x = 7,896.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.