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Finding the Fourth Proportional to 7,216.99, 10,826.16 and 2,833.42

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Solution

The fourth proportional to 7,216.99, 10,826.16 and 2,833.42 is: 4,250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.99 : 10,826.16 = 2,833.42 : x
  2. Step 2: Convert to fraction form
    7,216.99/10,826.16 = 2,833.42/x
  3. Step 3: Cross multiply
    7,216.99x = 10,826.16 × 2,833.42
  4. Step 4: Simplify right side
    7,216.99x = 30,675,043.58
  5. Step 5: Solve for x
    x = 30,675,043.58/7,216.99
  6. Step 6: Final answer
    x = 4,250.40

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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.