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Finding the Fourth Proportional to 7,105.94, 10,659 and 2,723.66

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Solution

The fourth proportional to 7,105.94, 10,659 and 2,723.66 is: 4,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.94 : 10,659 = 2,723.66 : x
  2. Step 2: Convert to fraction form
    7,105.94/10,659 = 2,723.66/x
  3. Step 3: Cross multiply
    7,105.94x = 10,659 × 2,723.66
  4. Step 4: Simplify right side
    7,105.94x = 29,031,491.94
  5. Step 5: Solve for x
    x = 29,031,491.94/7,105.94
  6. Step 6: Final answer
    x = 4,085.52

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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.