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Finding the Fourth Proportional to 7,012.50, 10,510.68 and 2,847.94

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Solution

The fourth proportional to 7,012.50, 10,510.68 and 2,847.94 is: 4,268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.50 : 10,510.68 = 2,847.94 : x
  2. Step 2: Convert to fraction form
    7,012.50/10,510.68 = 2,847.94/x
  3. Step 3: Cross multiply
    7,012.50x = 10,510.68 × 2,847.94
  4. Step 4: Simplify right side
    7,012.50x = 29,933,759.72
  5. Step 5: Solve for x
    x = 29,933,759.72/7,012.50
  6. Step 6: Final answer
    x = 4,268.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.