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Finding the Fourth Proportional to 8,576.06, 12,864.09 and 5,653.68

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Solution

The fourth proportional to 8,576.06, 12,864.09 and 5,653.68 is: 8,480.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.06 : 12,864.09 = 5,653.68 : x
  2. Step 2: Convert to fraction form
    8,576.06/12,864.09 = 5,653.68/x
  3. Step 3: Cross multiply
    8,576.06x = 12,864.09 × 5,653.68
  4. Step 4: Simplify right side
    8,576.06x = 72,729,448.35
  5. Step 5: Solve for x
    x = 72,729,448.35/8,576.06
  6. Step 6: Final answer
    x = 8,480.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.