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Finding the Fourth Proportional to 8,270.56, 11,412.96 and 4,732.96

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Solution

The fourth proportional to 8,270.56, 11,412.96 and 4,732.96 is: 6,531.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.56 : 11,412.96 = 4,732.96 : x
  2. Step 2: Convert to fraction form
    8,270.56/11,412.96 = 4,732.96/x
  3. Step 3: Cross multiply
    8,270.56x = 11,412.96 × 4,732.96
  4. Step 4: Simplify right side
    8,270.56x = 54,017,083.16
  5. Step 5: Solve for x
    x = 54,017,083.16/8,270.56
  6. Step 6: Final answer
    x = 6,531.25

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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.