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Finding the Fourth Proportional to 7,866.74, 11,800.39 and 2,671.94

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Solution

The fourth proportional to 7,866.74, 11,800.39 and 2,671.94 is: 4,008.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.74 : 11,800.39 = 2,671.94 : x
  2. Step 2: Convert to fraction form
    7,866.74/11,800.39 = 2,671.94/x
  3. Step 3: Cross multiply
    7,866.74x = 11,800.39 × 2,671.94
  4. Step 4: Simplify right side
    7,866.74x = 31,529,934.06
  5. Step 5: Solve for x
    x = 31,529,934.06/7,866.74
  6. Step 6: Final answer
    x = 4,008.01

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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.