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Finding the Fourth Proportional to 8,267.87, 11,409.50 and 4,682.77

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Solution

The fourth proportional to 8,267.87, 11,409.50 and 4,682.77 is: 6,462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.87 : 11,409.50 = 4,682.77 : x
  2. Step 2: Convert to fraction form
    8,267.87/11,409.50 = 4,682.77/x
  3. Step 3: Cross multiply
    8,267.87x = 11,409.50 × 4,682.77
  4. Step 4: Simplify right side
    8,267.87x = 53,428,012.38
  5. Step 5: Solve for x
    x = 53,428,012.38/8,267.87
  6. Step 6: Final answer
    x = 6,462.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.