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Finding the Fourth Proportional to 10,896.75, 15,036.31 and 6,115.60

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Solution

The fourth proportional to 10,896.75, 15,036.31 and 6,115.60 is: 8,438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.75 : 15,036.31 = 6,115.60 : x
  2. Step 2: Convert to fraction form
    10,896.75/15,036.31 = 6,115.60/x
  3. Step 3: Cross multiply
    10,896.75x = 15,036.31 × 6,115.60
  4. Step 4: Simplify right side
    10,896.75x = 91,956,038.96
  5. Step 5: Solve for x
    x = 91,956,038.96/10,896.75
  6. Step 6: Final answer
    x = 8,438.85

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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.