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Finding the Fourth Proportional to 10,751.58, 16,127.76 and 2,961

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Solution

The fourth proportional to 10,751.58, 16,127.76 and 2,961 is: 4,441.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.58 : 16,127.76 = 2,961 : x
  2. Step 2: Convert to fraction form
    10,751.58/16,127.76 = 2,961/x
  3. Step 3: Cross multiply
    10,751.58x = 16,127.76 × 2,961
  4. Step 4: Simplify right side
    10,751.58x = 47,754,297.36
  5. Step 5: Solve for x
    x = 47,754,297.36/10,751.58
  6. Step 6: Final answer
    x = 4,441.61

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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.