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Finding the Fourth Proportional to 7,202.09, 10,803.13 and 2,272.23

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Solution

The fourth proportional to 7,202.09, 10,803.13 and 2,272.23 is: 3,408.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.09 : 10,803.13 = 2,272.23 : x
  2. Step 2: Convert to fraction form
    7,202.09/10,803.13 = 2,272.23/x
  3. Step 3: Cross multiply
    7,202.09x = 10,803.13 × 2,272.23
  4. Step 4: Simplify right side
    7,202.09x = 24,547,175.99
  5. Step 5: Solve for x
    x = 24,547,175.99/7,202.09
  6. Step 6: Final answer
    x = 3,408.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.