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Finding the Fourth Proportional to 10,993.02, 15,161.16 and 7,213.26

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Solution

The fourth proportional to 10,993.02, 15,161.16 and 7,213.26 is: 9,948.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.02 : 15,161.16 = 7,213.26 : x
  2. Step 2: Convert to fraction form
    10,993.02/15,161.16 = 7,213.26/x
  3. Step 3: Cross multiply
    10,993.02x = 15,161.16 × 7,213.26
  4. Step 4: Simplify right side
    10,993.02x = 109,361,388.98
  5. Step 5: Solve for x
    x = 109,361,388.98/10,993.02
  6. Step 6: Final answer
    x = 9,948.26

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