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Finding the Fourth Proportional to 11,211.50, 16,811.87 and 6,532.84

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Solution

The fourth proportional to 11,211.50, 16,811.87 and 6,532.84 is: 9,796.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.50 : 16,811.87 = 6,532.84 : x
  2. Step 2: Convert to fraction form
    11,211.50/16,811.87 = 6,532.84/x
  3. Step 3: Cross multiply
    11,211.50x = 16,811.87 × 6,532.84
  4. Step 4: Simplify right side
    11,211.50x = 109,829,256.81
  5. Step 5: Solve for x
    x = 109,829,256.81/11,211.50
  6. Step 6: Final answer
    x = 9,796.13

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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.