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Finding the Fourth Proportional to 11,021.70, 16,532.55 and 6,647.70

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Solution

The fourth proportional to 11,021.70, 16,532.55 and 6,647.70 is: 9,971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,021.70 : 16,532.55 = 6,647.70 : x
  2. Step 2: Convert to fraction form
    11,021.70/16,532.55 = 6,647.70/x
  3. Step 3: Cross multiply
    11,021.70x = 16,532.55 × 6,647.70
  4. Step 4: Simplify right side
    11,021.70x = 109,903,432.64
  5. Step 5: Solve for x
    x = 109,903,432.64/11,021.70
  6. Step 6: Final answer
    x = 9,971.55

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