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Finding the Fourth Proportional to 8,722.86, 12,037.28 and 4,946.38

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Solution

The fourth proportional to 8,722.86, 12,037.28 and 4,946.38 is: 6,825.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722.86 : 12,037.28 = 4,946.38 : x
  2. Step 2: Convert to fraction form
    8,722.86/12,037.28 = 4,946.38/x
  3. Step 3: Cross multiply
    8,722.86x = 12,037.28 × 4,946.38
  4. Step 4: Simplify right side
    8,722.86x = 59,540,961.05
  5. Step 5: Solve for x
    x = 59,540,961.05/8,722.86
  6. Step 6: Final answer
    x = 6,825.85

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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.