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Finding the Fourth Proportional to 11,563.58, 17,355.20 and 4,548.50

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Solution

The fourth proportional to 11,563.58, 17,355.20 and 4,548.50 is: 6,826.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.58 : 17,355.20 = 4,548.50 : x
  2. Step 2: Convert to fraction form
    11,563.58/17,355.20 = 4,548.50/x
  3. Step 3: Cross multiply
    11,563.58x = 17,355.20 × 4,548.50
  4. Step 4: Simplify right side
    11,563.58x = 78,940,017.68
  5. Step 5: Solve for x
    x = 78,940,017.68/11,563.58
  6. Step 6: Final answer
    x = 6,826.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.