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Finding the Fourth Proportional to 7,927.41, 11,879.77 and 4,457.37

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Solution

The fourth proportional to 7,927.41, 11,879.77 and 4,457.37 is: 6,679.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.41 : 11,879.77 = 4,457.37 : x
  2. Step 2: Convert to fraction form
    7,927.41/11,879.77 = 4,457.37/x
  3. Step 3: Cross multiply
    7,927.41x = 11,879.77 × 4,457.37
  4. Step 4: Simplify right side
    7,927.41x = 52,952,530.40
  5. Step 5: Solve for x
    x = 52,952,530.40/7,927.41
  6. Step 6: Final answer
    x = 6,679.68

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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.