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Finding the Fourth Proportional to 7,343.64, 11,015.43 and 2,149.50

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Solution

The fourth proportional to 7,343.64, 11,015.43 and 2,149.50 is: 3,224.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,343.64 : 11,015.43 = 2,149.50 : x
  2. Step 2: Convert to fraction form
    7,343.64/11,015.43 = 2,149.50/x
  3. Step 3: Cross multiply
    7,343.64x = 11,015.43 × 2,149.50
  4. Step 4: Simplify right side
    7,343.64x = 23,677,666.79
  5. Step 5: Solve for x
    x = 23,677,666.79/7,343.64
  6. Step 6: Final answer
    x = 3,224.24

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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.