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Finding the Fourth Proportional to 10,809.45, 14,902.22 and 6,828.57

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Solution

The fourth proportional to 10,809.45, 14,902.22 and 6,828.57 is: 9,414.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.45 : 14,902.22 = 6,828.57 : x
  2. Step 2: Convert to fraction form
    10,809.45/14,902.22 = 6,828.57/x
  3. Step 3: Cross multiply
    10,809.45x = 14,902.22 × 6,828.57
  4. Step 4: Simplify right side
    10,809.45x = 101,760,818.28
  5. Step 5: Solve for x
    x = 101,760,818.28/10,809.45
  6. Step 6: Final answer
    x = 9,414.06

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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.