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Finding the Fourth Proportional to 7,915.83, 11,876.93 and 2,986.86

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Solution

The fourth proportional to 7,915.83, 11,876.93 and 2,986.86 is: 4,481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,915.83 : 11,876.93 = 2,986.86 : x
  2. Step 2: Convert to fraction form
    7,915.83/11,876.93 = 2,986.86/x
  3. Step 3: Cross multiply
    7,915.83x = 11,876.93 × 2,986.86
  4. Step 4: Simplify right side
    7,915.83x = 35,474,712.21
  5. Step 5: Solve for x
    x = 35,474,712.21/7,915.83
  6. Step 6: Final answer
    x = 4,481.49

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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.