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Finding the Fourth Proportional to 11,188.50, 16,782.24 and 3,290.72

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Solution

The fourth proportional to 11,188.50, 16,782.24 and 3,290.72 is: 4,935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188.50 : 16,782.24 = 3,290.72 : x
  2. Step 2: Convert to fraction form
    11,188.50/16,782.24 = 3,290.72/x
  3. Step 3: Cross multiply
    11,188.50x = 16,782.24 × 3,290.72
  4. Step 4: Simplify right side
    11,188.50x = 55,225,652.81
  5. Step 5: Solve for x
    x = 55,225,652.81/11,188.50
  6. Step 6: Final answer
    x = 4,935.93

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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.