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Finding the Fourth Proportional to 8,544.32, 11,784.84 and 5,892.56

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Solution

The fourth proportional to 8,544.32, 11,784.84 and 5,892.56 is: 8,127.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544.32 : 11,784.84 = 5,892.56 : x
  2. Step 2: Convert to fraction form
    8,544.32/11,784.84 = 5,892.56/x
  3. Step 3: Cross multiply
    8,544.32x = 11,784.84 × 5,892.56
  4. Step 4: Simplify right side
    8,544.32x = 69,442,876.79
  5. Step 5: Solve for x
    x = 69,442,876.79/8,544.32
  6. Step 6: Final answer
    x = 8,127.37

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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.