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Finding the Fourth Proportional to 11,340.54, 15,652.44 and 6,563.77

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Solution

The fourth proportional to 11,340.54, 15,652.44 and 6,563.77 is: 9,059.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340.54 : 15,652.44 = 6,563.77 : x
  2. Step 2: Convert to fraction form
    11,340.54/15,652.44 = 6,563.77/x
  3. Step 3: Cross multiply
    11,340.54x = 15,652.44 × 6,563.77
  4. Step 4: Simplify right side
    11,340.54x = 102,738,976.97
  5. Step 5: Solve for x
    x = 102,738,976.97/11,340.54
  6. Step 6: Final answer
    x = 9,059.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.