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Finding the Fourth Proportional to 11,114.56, 16,648.32 and 7,207.36

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Solution

The fourth proportional to 11,114.56, 16,648.32 and 7,207.36 is: 10,795.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114.56 : 16,648.32 = 7,207.36 : x
  2. Step 2: Convert to fraction form
    11,114.56/16,648.32 = 7,207.36/x
  3. Step 3: Cross multiply
    11,114.56x = 16,648.32 × 7,207.36
  4. Step 4: Simplify right side
    11,114.56x = 119,990,435.64
  5. Step 5: Solve for x
    x = 119,990,435.64/11,114.56
  6. Step 6: Final answer
    x = 10,795.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.