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Finding the Fourth Proportional to 11,556.14, 17,362.74 and 7,397.96

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Solution

The fourth proportional to 11,556.14, 17,362.74 and 7,397.96 is: 11,115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556.14 : 17,362.74 = 7,397.96 : x
  2. Step 2: Convert to fraction form
    11,556.14/17,362.74 = 7,397.96/x
  3. Step 3: Cross multiply
    11,556.14x = 17,362.74 × 7,397.96
  4. Step 4: Simplify right side
    11,556.14x = 128,448,856.01
  5. Step 5: Solve for x
    x = 128,448,856.01/11,556.14
  6. Step 6: Final answer
    x = 11,115.20

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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.