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Finding the Fourth Proportional to 11,471.18, 15,813.47 and 8,108.06

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Solution

The fourth proportional to 11,471.18, 15,813.47 and 8,108.06 is: 11,177.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.18 : 15,813.47 = 8,108.06 : x
  2. Step 2: Convert to fraction form
    11,471.18/15,813.47 = 8,108.06/x
  3. Step 3: Cross multiply
    11,471.18x = 15,813.47 × 8,108.06
  4. Step 4: Simplify right side
    11,471.18x = 128,216,443.96
  5. Step 5: Solve for x
    x = 128,216,443.96/11,471.18
  6. Step 6: Final answer
    x = 11,177.27

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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.