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Finding the Fourth Proportional to 7,288.78, 10,934.76 and 2,671.78

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Solution

The fourth proportional to 7,288.78, 10,934.76 and 2,671.78 is: 4,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,288.78 : 10,934.76 = 2,671.78 : x
  2. Step 2: Convert to fraction form
    7,288.78/10,934.76 = 2,671.78/x
  3. Step 3: Cross multiply
    7,288.78x = 10,934.76 × 2,671.78
  4. Step 4: Simplify right side
    7,288.78x = 29,215,273.07
  5. Step 5: Solve for x
    x = 29,215,273.07/7,288.78
  6. Step 6: Final answer
    x = 4,008.25

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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.