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Finding the Fourth Proportional to 8,544.36, 11,791.86 and 4,768.74

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Solution

The fourth proportional to 8,544.36, 11,791.86 and 4,768.74 is: 6,581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544.36 : 11,791.86 = 4,768.74 : x
  2. Step 2: Convert to fraction form
    8,544.36/11,791.86 = 4,768.74/x
  3. Step 3: Cross multiply
    8,544.36x = 11,791.86 × 4,768.74
  4. Step 4: Simplify right side
    8,544.36x = 56,232,314.46
  5. Step 5: Solve for x
    x = 56,232,314.46/8,544.36
  6. Step 6: Final answer
    x = 6,581.22

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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.