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Finding the Fourth Proportional to 8,546.56, 11,804.72 and 6,184.96

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Solution

The fourth proportional to 8,546.56, 11,804.72 and 6,184.96 is: 8,542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.56 : 11,804.72 = 6,184.96 : x
  2. Step 2: Convert to fraction form
    8,546.56/11,804.72 = 6,184.96/x
  3. Step 3: Cross multiply
    8,546.56x = 11,804.72 × 6,184.96
  4. Step 4: Simplify right side
    8,546.56x = 73,011,721.01
  5. Step 5: Solve for x
    x = 73,011,721.01/8,546.56
  6. Step 6: Final answer
    x = 8,542.82

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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.