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Finding the Fourth Proportional to 11,367.85, 15,690.05 and 7,639.69

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Solution

The fourth proportional to 11,367.85, 15,690.05 and 7,639.69 is: 10,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,367.85 : 15,690.05 = 7,639.69 : x
  2. Step 2: Convert to fraction form
    11,367.85/15,690.05 = 7,639.69/x
  3. Step 3: Cross multiply
    11,367.85x = 15,690.05 × 7,639.69
  4. Step 4: Simplify right side
    11,367.85x = 119,867,069.31
  5. Step 5: Solve for x
    x = 119,867,069.31/11,367.85
  6. Step 6: Final answer
    x = 10,544.39

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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.