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Finding the Fourth Proportional to 7,023.94, 10,535.92 and 2,866.21

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Solution

The fourth proportional to 7,023.94, 10,535.92 and 2,866.21 is: 4,299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.94 : 10,535.92 = 2,866.21 : x
  2. Step 2: Convert to fraction form
    7,023.94/10,535.92 = 2,866.21/x
  3. Step 3: Cross multiply
    7,023.94x = 10,535.92 × 2,866.21
  4. Step 4: Simplify right side
    7,023.94x = 30,198,125.76
  5. Step 5: Solve for x
    x = 30,198,125.76/7,023.94
  6. Step 6: Final answer
    x = 4,299.32

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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.