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Finding the Fourth Proportional to 7,218.36, 10,820.25 and 2,834.10

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Solution

The fourth proportional to 7,218.36, 10,820.25 and 2,834.10 is: 4,248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.36 : 10,820.25 = 2,834.10 : x
  2. Step 2: Convert to fraction form
    7,218.36/10,820.25 = 2,834.10/x
  3. Step 3: Cross multiply
    7,218.36x = 10,820.25 × 2,834.10
  4. Step 4: Simplify right side
    7,218.36x = 30,665,670.53
  5. Step 5: Solve for x
    x = 30,665,670.53/7,218.36
  6. Step 6: Final answer
    x = 4,248.29

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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.