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Finding the Fourth Proportional to 11,412.30, 15,736.89 and 8,889.96

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Solution

The fourth proportional to 11,412.30, 15,736.89 and 8,889.96 is: 12,258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.30 : 15,736.89 = 8,889.96 : x
  2. Step 2: Convert to fraction form
    11,412.30/15,736.89 = 8,889.96/x
  3. Step 3: Cross multiply
    11,412.30x = 15,736.89 × 8,889.96
  4. Step 4: Simplify right side
    11,412.30x = 139,900,322.62
  5. Step 5: Solve for x
    x = 139,900,322.62/11,412.30
  6. Step 6: Final answer
    x = 12,258.73

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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.