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Finding the Fourth Proportional to 11,389.64, 15,719.44 and 6,912.53

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Solution

The fourth proportional to 11,389.64, 15,719.44 and 6,912.53 is: 9,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,389.64 : 15,719.44 = 6,912.53 : x
  2. Step 2: Convert to fraction form
    11,389.64/15,719.44 = 6,912.53/x
  3. Step 3: Cross multiply
    11,389.64x = 15,719.44 × 6,912.53
  4. Step 4: Simplify right side
    11,389.64x = 108,661,063.65
  5. Step 5: Solve for x
    x = 108,661,063.65/11,389.64
  6. Step 6: Final answer
    x = 9,540.34

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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.