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Finding the Fourth Proportional to 7,214.40, 10,820.16 and 2,832

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Solution

The fourth proportional to 7,214.40, 10,820.16 and 2,832 is: 4,247.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.40 : 10,820.16 = 2,832 : x
  2. Step 2: Convert to fraction form
    7,214.40/10,820.16 = 2,832/x
  3. Step 3: Cross multiply
    7,214.40x = 10,820.16 × 2,832
  4. Step 4: Simplify right side
    7,214.40x = 30,642,693.12
  5. Step 5: Solve for x
    x = 30,642,693.12/7,214.40
  6. Step 6: Final answer
    x = 4,247.43

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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.