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Finding the Fourth Proportional to 8,509.75, 11,743.44 and 4,732.81

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Solution

The fourth proportional to 8,509.75, 11,743.44 and 4,732.81 is: 6,531.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.75 : 11,743.44 = 4,732.81 : x
  2. Step 2: Convert to fraction form
    8,509.75/11,743.44 = 4,732.81/x
  3. Step 3: Cross multiply
    8,509.75x = 11,743.44 × 4,732.81
  4. Step 4: Simplify right side
    8,509.75x = 55,579,470.27
  5. Step 5: Solve for x
    x = 55,579,470.27/8,509.75
  6. Step 6: Final answer
    x = 6,531.27

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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.