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Finding the Fourth Proportional to 8,580.65, 12,846.71 and 5,452.91

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Solution

The fourth proportional to 8,580.65, 12,846.71 and 5,452.91 is: 8,163.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.65 : 12,846.71 = 5,452.91 : x
  2. Step 2: Convert to fraction form
    8,580.65/12,846.71 = 5,452.91/x
  3. Step 3: Cross multiply
    8,580.65x = 12,846.71 × 5,452.91
  4. Step 4: Simplify right side
    8,580.65x = 70,051,902.82
  5. Step 5: Solve for x
    x = 70,051,902.82/8,580.65
  6. Step 6: Final answer
    x = 8,163.94

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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.