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Finding the Fourth Proportional to 8,265.72, 11,412.06 and 5,282.76

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Solution

The fourth proportional to 8,265.72, 11,412.06 and 5,282.76 is: 7,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.72 : 11,412.06 = 5,282.76 : x
  2. Step 2: Convert to fraction form
    8,265.72/11,412.06 = 5,282.76/x
  3. Step 3: Cross multiply
    8,265.72x = 11,412.06 × 5,282.76
  4. Step 4: Simplify right side
    8,265.72x = 60,287,174.09
  5. Step 5: Solve for x
    x = 60,287,174.09/8,265.72
  6. Step 6: Final answer
    x = 7,293.64

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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.