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Finding the Fourth Proportional to 11,475.23, 15,836.06 and 6,439.82

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Solution

The fourth proportional to 11,475.23, 15,836.06 and 6,439.82 is: 8,887.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.23 : 15,836.06 = 6,439.82 : x
  2. Step 2: Convert to fraction form
    11,475.23/15,836.06 = 6,439.82/x
  3. Step 3: Cross multiply
    11,475.23x = 15,836.06 × 6,439.82
  4. Step 4: Simplify right side
    11,475.23x = 101,981,264.53
  5. Step 5: Solve for x
    x = 101,981,264.53/11,475.23
  6. Step 6: Final answer
    x = 8,887.08

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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.