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Finding the Fourth Proportional to 7,577.99, 11,366.53 and 2,833.21

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Solution

The fourth proportional to 7,577.99, 11,366.53 and 2,833.21 is: 4,249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.99 : 11,366.53 = 2,833.21 : x
  2. Step 2: Convert to fraction form
    7,577.99/11,366.53 = 2,833.21/x
  3. Step 3: Cross multiply
    7,577.99x = 11,366.53 × 2,833.21
  4. Step 4: Simplify right side
    7,577.99x = 32,203,773.59
  5. Step 5: Solve for x
    x = 32,203,773.59/7,577.99
  6. Step 6: Final answer
    x = 4,249.65

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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.