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Finding the Fourth Proportional to 8,077.64, 11,147.94 and 4,541.48

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Solution

The fourth proportional to 8,077.64, 11,147.94 and 4,541.48 is: 6,267.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.64 : 11,147.94 = 4,541.48 : x
  2. Step 2: Convert to fraction form
    8,077.64/11,147.94 = 4,541.48/x
  3. Step 3: Cross multiply
    8,077.64x = 11,147.94 × 4,541.48
  4. Step 4: Simplify right side
    8,077.64x = 50,628,146.55
  5. Step 5: Solve for x
    x = 50,628,146.55/8,077.64
  6. Step 6: Final answer
    x = 6,267.69

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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.