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Finding the Fourth Proportional to 11,489.32, 15,855.06 and 6,453.58

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Solution

The fourth proportional to 11,489.32, 15,855.06 and 6,453.58 is: 8,905.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.32 : 15,855.06 = 6,453.58 : x
  2. Step 2: Convert to fraction form
    11,489.32/15,855.06 = 6,453.58/x
  3. Step 3: Cross multiply
    11,489.32x = 15,855.06 × 6,453.58
  4. Step 4: Simplify right side
    11,489.32x = 102,321,898.11
  5. Step 5: Solve for x
    x = 102,321,898.11/11,489.32
  6. Step 6: Final answer
    x = 8,905.83

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