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Finding the Fourth Proportional to 11,489.58, 15,853.86 and 6,453.90

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Solution

The fourth proportional to 11,489.58, 15,853.86 and 6,453.90 is: 8,905.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.58 : 15,853.86 = 6,453.90 : x
  2. Step 2: Convert to fraction form
    11,489.58/15,853.86 = 6,453.90/x
  3. Step 3: Cross multiply
    11,489.58x = 15,853.86 × 6,453.90
  4. Step 4: Simplify right side
    11,489.58x = 102,319,227.05
  5. Step 5: Solve for x
    x = 102,319,227.05/11,489.58
  6. Step 6: Final answer
    x = 8,905.39

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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.