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Finding the Fourth Proportional to 10,941.22, 16,428.23 and 6,266.50

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Solution

The fourth proportional to 10,941.22, 16,428.23 and 6,266.50 is: 9,409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,941.22 : 16,428.23 = 6,266.50 : x
  2. Step 2: Convert to fraction form
    10,941.22/16,428.23 = 6,266.50/x
  3. Step 3: Cross multiply
    10,941.22x = 16,428.23 × 6,266.50
  4. Step 4: Simplify right side
    10,941.22x = 102,947,503.30
  5. Step 5: Solve for x
    x = 102,947,503.30/10,941.22
  6. Step 6: Final answer
    x = 9,409.14

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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.