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Finding the Fourth Proportional to 10,896.54, 15,036.68 and 6,182.34

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Solution

The fourth proportional to 10,896.54, 15,036.68 and 6,182.34 is: 8,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.54 : 15,036.68 = 6,182.34 : x
  2. Step 2: Convert to fraction form
    10,896.54/15,036.68 = 6,182.34/x
  3. Step 3: Cross multiply
    10,896.54x = 15,036.68 × 6,182.34
  4. Step 4: Simplify right side
    10,896.54x = 92,961,868.23
  5. Step 5: Solve for x
    x = 92,961,868.23/10,896.54
  6. Step 6: Final answer
    x = 8,531.32

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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.