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Finding the Fourth Proportional to 10,896.56, 15,029 and 7,544.98

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Solution

The fourth proportional to 10,896.56, 15,029 and 7,544.98 is: 10,406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.56 : 15,029 = 7,544.98 : x
  2. Step 2: Convert to fraction form
    10,896.56/15,029 = 7,544.98/x
  3. Step 3: Cross multiply
    10,896.56x = 15,029 × 7,544.98
  4. Step 4: Simplify right side
    10,896.56x = 113,393,504.42
  5. Step 5: Solve for x
    x = 113,393,504.42/10,896.56
  6. Step 6: Final answer
    x = 10,406.36

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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.