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Finding the Fourth Proportional to 8,037.88, 12,056.82 and 3,931

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Solution

The fourth proportional to 8,037.88, 12,056.82 and 3,931 is: 5,896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.88 : 12,056.82 = 3,931 : x
  2. Step 2: Convert to fraction form
    8,037.88/12,056.82 = 3,931/x
  3. Step 3: Cross multiply
    8,037.88x = 12,056.82 × 3,931
  4. Step 4: Simplify right side
    8,037.88x = 47,395,359.42
  5. Step 5: Solve for x
    x = 47,395,359.42/8,037.88
  6. Step 6: Final answer
    x = 5,896.50

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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.