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Finding the Fourth Proportional to 8,510.72, 11,732.48 and 5,634.63

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Solution

The fourth proportional to 8,510.72, 11,732.48 and 5,634.63 is: 7,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.72 : 11,732.48 = 5,634.63 : x
  2. Step 2: Convert to fraction form
    8,510.72/11,732.48 = 5,634.63/x
  3. Step 3: Cross multiply
    8,510.72x = 11,732.48 × 5,634.63
  4. Step 4: Simplify right side
    8,510.72x = 66,108,183.78
  5. Step 5: Solve for x
    x = 66,108,183.78/8,510.72
  6. Step 6: Final answer
    x = 7,767.64

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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.