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Finding the Fourth Proportional to 10,961.10, 16,441.65 and 7,461.90

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Solution

The fourth proportional to 10,961.10, 16,441.65 and 7,461.90 is: 11,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961.10 : 16,441.65 = 7,461.90 : x
  2. Step 2: Convert to fraction form
    10,961.10/16,441.65 = 7,461.90/x
  3. Step 3: Cross multiply
    10,961.10x = 16,441.65 × 7,461.90
  4. Step 4: Simplify right side
    10,961.10x = 122,685,948.14
  5. Step 5: Solve for x
    x = 122,685,948.14/10,961.10
  6. Step 6: Final answer
    x = 11,192.85

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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.