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Finding the Fourth Proportional to 7,614.40, 11,419.41 and 2,934.04

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Solution

The fourth proportional to 7,614.40, 11,419.41 and 2,934.04 is: 4,400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.40 : 11,419.41 = 2,934.04 : x
  2. Step 2: Convert to fraction form
    7,614.40/11,419.41 = 2,934.04/x
  3. Step 3: Cross multiply
    7,614.40x = 11,419.41 × 2,934.04
  4. Step 4: Simplify right side
    7,614.40x = 33,505,005.72
  5. Step 5: Solve for x
    x = 33,505,005.72/7,614.40
  6. Step 6: Final answer
    x = 4,400.22

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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.