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Finding the Fourth Proportional to 8,096.43, 11,100.25 and 7,948.83

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Solution

The fourth proportional to 8,096.43, 11,100.25 and 7,948.83 is: 10,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.43 : 11,100.25 = 7,948.83 : x
  2. Step 2: Convert to fraction form
    8,096.43/11,100.25 = 7,948.83/x
  3. Step 3: Cross multiply
    8,096.43x = 11,100.25 × 7,948.83
  4. Step 4: Simplify right side
    8,096.43x = 88,233,980.34
  5. Step 5: Solve for x
    x = 88,233,980.34/8,096.43
  6. Step 6: Final answer
    x = 10,897.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.