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Finding the Fourth Proportional to 11,500.36, 15,869.93 and 6,464.79

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Solution

The fourth proportional to 11,500.36, 15,869.93 and 6,464.79 is: 8,921.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.36 : 15,869.93 = 6,464.79 : x
  2. Step 2: Convert to fraction form
    11,500.36/15,869.93 = 6,464.79/x
  3. Step 3: Cross multiply
    11,500.36x = 15,869.93 × 6,464.79
  4. Step 4: Simplify right side
    11,500.36x = 102,595,732.44
  5. Step 5: Solve for x
    x = 102,595,732.44/11,500.36
  6. Step 6: Final answer
    x = 8,921.09

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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.