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Finding the Fourth Proportional to 8,454.05, 11,666.56 and 5,096.23

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Solution

The fourth proportional to 8,454.05, 11,666.56 and 5,096.23 is: 7,032.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.05 : 11,666.56 = 5,096.23 : x
  2. Step 2: Convert to fraction form
    8,454.05/11,666.56 = 5,096.23/x
  3. Step 3: Cross multiply
    8,454.05x = 11,666.56 × 5,096.23
  4. Step 4: Simplify right side
    8,454.05x = 59,455,473.07
  5. Step 5: Solve for x
    x = 59,455,473.07/8,454.05
  6. Step 6: Final answer
    x = 7,032.78

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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.