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Finding the Fourth Proportional to 7,915.48, 11,847.46 and 5,834.65

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Solution

The fourth proportional to 7,915.48, 11,847.46 and 5,834.65 is: 8,732.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,915.48 : 11,847.46 = 5,834.65 : x
  2. Step 2: Convert to fraction form
    7,915.48/11,847.46 = 5,834.65/x
  3. Step 3: Cross multiply
    7,915.48x = 11,847.46 × 5,834.65
  4. Step 4: Simplify right side
    7,915.48x = 69,125,782.49
  5. Step 5: Solve for x
    x = 69,125,782.49/7,915.48
  6. Step 6: Final answer
    x = 8,732.99

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Why These Related Problems?

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