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Finding the Fourth Proportional to 7,214.72, 10,828.22 and 2,835.24

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Solution

The fourth proportional to 7,214.72, 10,828.22 and 2,835.24 is: 4,255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.72 : 10,828.22 = 2,835.24 : x
  2. Step 2: Convert to fraction form
    7,214.72/10,828.22 = 2,835.24/x
  3. Step 3: Cross multiply
    7,214.72x = 10,828.22 × 2,835.24
  4. Step 4: Simplify right side
    7,214.72x = 30,700,602.47
  5. Step 5: Solve for x
    x = 30,700,602.47/7,214.72
  6. Step 6: Final answer
    x = 4,255.27

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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.