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Finding the Fourth Proportional to 11,551.82, 15,941.50 and 6,246.66

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Solution

The fourth proportional to 11,551.82, 15,941.50 and 6,246.66 is: 8,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,551.82 : 15,941.50 = 6,246.66 : x
  2. Step 2: Convert to fraction form
    11,551.82/15,941.50 = 6,246.66/x
  3. Step 3: Cross multiply
    11,551.82x = 15,941.50 × 6,246.66
  4. Step 4: Simplify right side
    11,551.82x = 99,581,114.77
  5. Step 5: Solve for x
    x = 99,581,114.77/11,551.82
  6. Step 6: Final answer
    x = 8,620.38

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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.