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Finding the Fourth Proportional to 11,458.06, 15,813.09 and 6,422.20

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Solution

The fourth proportional to 11,458.06, 15,813.09 and 6,422.20 is: 8,863.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458.06 : 15,813.09 = 6,422.20 : x
  2. Step 2: Convert to fraction form
    11,458.06/15,813.09 = 6,422.20/x
  3. Step 3: Cross multiply
    11,458.06x = 15,813.09 × 6,422.20
  4. Step 4: Simplify right side
    11,458.06x = 101,554,787.07
  5. Step 5: Solve for x
    x = 101,554,787.07/11,458.06
  6. Step 6: Final answer
    x = 8,863.18

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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.