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Finding the Fourth Proportional to 10,597.44, 15,896.16 and 3,671.94

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Solution

The fourth proportional to 10,597.44, 15,896.16 and 3,671.94 is: 5,507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.44 : 15,896.16 = 3,671.94 : x
  2. Step 2: Convert to fraction form
    10,597.44/15,896.16 = 3,671.94/x
  3. Step 3: Cross multiply
    10,597.44x = 15,896.16 × 3,671.94
  4. Step 4: Simplify right side
    10,597.44x = 58,369,745.75
  5. Step 5: Solve for x
    x = 58,369,745.75/10,597.44
  6. Step 6: Final answer
    x = 5,507.91

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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.