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Finding the Fourth Proportional to 11,644.45, 16,069.62 and 6,339.31

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Solution

The fourth proportional to 11,644.45, 16,069.62 and 6,339.31 is: 8,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.45 : 16,069.62 = 6,339.31 : x
  2. Step 2: Convert to fraction form
    11,644.45/16,069.62 = 6,339.31/x
  3. Step 3: Cross multiply
    11,644.45x = 16,069.62 × 6,339.31
  4. Step 4: Simplify right side
    11,644.45x = 101,870,302.76
  5. Step 5: Solve for x
    x = 101,870,302.76/11,644.45
  6. Step 6: Final answer
    x = 8,748.40

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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.