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Finding the Fourth Proportional to 11,021.84, 16,534.84 and 3,631.50

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Solution

The fourth proportional to 11,021.84, 16,534.84 and 3,631.50 is: 5,447.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,021.84 : 16,534.84 = 3,631.50 : x
  2. Step 2: Convert to fraction form
    11,021.84/16,534.84 = 3,631.50/x
  3. Step 3: Cross multiply
    11,021.84x = 16,534.84 × 3,631.50
  4. Step 4: Simplify right side
    11,021.84x = 60,046,271.46
  5. Step 5: Solve for x
    x = 60,046,271.46/11,021.84
  6. Step 6: Final answer
    x = 5,447.94

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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.