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Finding the Fourth Proportional to 11,399.06, 15,718.29 and 7,412.78

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Solution

The fourth proportional to 11,399.06, 15,718.29 and 7,412.78 is: 10,221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399.06 : 15,718.29 = 7,412.78 : x
  2. Step 2: Convert to fraction form
    11,399.06/15,718.29 = 7,412.78/x
  3. Step 3: Cross multiply
    11,399.06x = 15,718.29 × 7,412.78
  4. Step 4: Simplify right side
    11,399.06x = 116,516,147.15
  5. Step 5: Solve for x
    x = 116,516,147.15/11,399.06
  6. Step 6: Final answer
    x = 10,221.56

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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.