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Finding the Fourth Proportional to 8,380.52, 11,558.64 and 6,141.56

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Solution

The fourth proportional to 8,380.52, 11,558.64 and 6,141.56 is: 8,470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.52 : 11,558.64 = 6,141.56 : x
  2. Step 2: Convert to fraction form
    8,380.52/11,558.64 = 6,141.56/x
  3. Step 3: Cross multiply
    8,380.52x = 11,558.64 × 6,141.56
  4. Step 4: Simplify right side
    8,380.52x = 70,988,081.08
  5. Step 5: Solve for x
    x = 70,988,081.08/8,380.52
  6. Step 6: Final answer
    x = 8,470.61

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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.