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Finding the Fourth Proportional to 7,864.76, 11,796.74 and 2,934.01

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Solution

The fourth proportional to 7,864.76, 11,796.74 and 2,934.01 is: 4,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.76 : 11,796.74 = 2,934.01 : x
  2. Step 2: Convert to fraction form
    7,864.76/11,796.74 = 2,934.01/x
  3. Step 3: Cross multiply
    7,864.76x = 11,796.74 × 2,934.01
  4. Step 4: Simplify right side
    7,864.76x = 34,611,753.13
  5. Step 5: Solve for x
    x = 34,611,753.13/7,864.76
  6. Step 6: Final answer
    x = 4,400.87

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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.