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Finding the Fourth Proportional to 11,556.77, 15,943.27 and 6,774.28

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Solution

The fourth proportional to 11,556.77, 15,943.27 and 6,774.28 is: 9,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556.77 : 15,943.27 = 6,774.28 : x
  2. Step 2: Convert to fraction form
    11,556.77/15,943.27 = 6,774.28/x
  3. Step 3: Cross multiply
    11,556.77x = 15,943.27 × 6,774.28
  4. Step 4: Simplify right side
    11,556.77x = 108,004,198.02
  5. Step 5: Solve for x
    x = 108,004,198.02/11,556.77
  6. Step 6: Final answer
    x = 9,345.54

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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.