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Finding the Fourth Proportional to 7,024.70, 10,537.04 and 2,866.97

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Solution

The fourth proportional to 7,024.70, 10,537.04 and 2,866.97 is: 4,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.70 : 10,537.04 = 2,866.97 : x
  2. Step 2: Convert to fraction form
    7,024.70/10,537.04 = 2,866.97/x
  3. Step 3: Cross multiply
    7,024.70x = 10,537.04 × 2,866.97
  4. Step 4: Simplify right side
    7,024.70x = 30,209,310.55
  5. Step 5: Solve for x
    x = 30,209,310.55/7,024.70
  6. Step 6: Final answer
    x = 4,300.44

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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.