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Finding the Fourth Proportional to 7,214.10, 10,821.15 and 2,829.30

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Solution

The fourth proportional to 7,214.10, 10,821.15 and 2,829.30 is: 4,243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.10 : 10,821.15 = 2,829.30 : x
  2. Step 2: Convert to fraction form
    7,214.10/10,821.15 = 2,829.30/x
  3. Step 3: Cross multiply
    7,214.10x = 10,821.15 × 2,829.30
  4. Step 4: Simplify right side
    7,214.10x = 30,616,279.70
  5. Step 5: Solve for x
    x = 30,616,279.70/7,214.10
  6. Step 6: Final answer
    x = 4,243.95

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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.