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Finding the Fourth Proportional to 7,915.72, 10,927.38 and 5,122.12

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Solution

The fourth proportional to 7,915.72, 10,927.38 and 5,122.12 is: 7,070.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,915.72 : 10,927.38 = 5,122.12 : x
  2. Step 2: Convert to fraction form
    7,915.72/10,927.38 = 5,122.12/x
  3. Step 3: Cross multiply
    7,915.72x = 10,927.38 × 5,122.12
  4. Step 4: Simplify right side
    7,915.72x = 55,971,351.65
  5. Step 5: Solve for x
    x = 55,971,351.65/7,915.72
  6. Step 6: Final answer
    x = 7,070.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.