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Finding the Fourth Proportional to 11,019.36, 15,202.32 and 7,039.44

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Solution

The fourth proportional to 11,019.36, 15,202.32 and 7,039.44 is: 9,711.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,019.36 : 15,202.32 = 7,039.44 : x
  2. Step 2: Convert to fraction form
    11,019.36/15,202.32 = 7,039.44/x
  3. Step 3: Cross multiply
    11,019.36x = 15,202.32 × 7,039.44
  4. Step 4: Simplify right side
    11,019.36x = 107,015,819.50
  5. Step 5: Solve for x
    x = 107,015,819.50/11,019.36
  6. Step 6: Final answer
    x = 9,711.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.