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Finding the Fourth Proportional to 8,534.06, 11,773.62 and 5,175.65

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Solution

The fourth proportional to 8,534.06, 11,773.62 and 5,175.65 is: 7,140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.06 : 11,773.62 = 5,175.65 : x
  2. Step 2: Convert to fraction form
    8,534.06/11,773.62 = 5,175.65/x
  3. Step 3: Cross multiply
    8,534.06x = 11,773.62 × 5,175.65
  4. Step 4: Simplify right side
    8,534.06x = 60,936,077.73
  5. Step 5: Solve for x
    x = 60,936,077.73/8,534.06
  6. Step 6: Final answer
    x = 7,140.34

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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.