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Finding the Fourth Proportional to 11,518.30, 15,896.06 and 6,414.49

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Solution

The fourth proportional to 11,518.30, 15,896.06 and 6,414.49 is: 8,852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518.30 : 15,896.06 = 6,414.49 : x
  2. Step 2: Convert to fraction form
    11,518.30/15,896.06 = 6,414.49/x
  3. Step 3: Cross multiply
    11,518.30x = 15,896.06 × 6,414.49
  4. Step 4: Simplify right side
    11,518.30x = 101,965,117.91
  5. Step 5: Solve for x
    x = 101,965,117.91/11,518.30
  6. Step 6: Final answer
    x = 8,852.45

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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.