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Finding the Fourth Proportional to 11,313.37, 16,976.66 and 4,739

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Solution

The fourth proportional to 11,313.37, 16,976.66 and 4,739 is: 7,111.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,313.37 : 16,976.66 = 4,739 : x
  2. Step 2: Convert to fraction form
    11,313.37/16,976.66 = 4,739/x
  3. Step 3: Cross multiply
    11,313.37x = 16,976.66 × 4,739
  4. Step 4: Simplify right side
    11,313.37x = 80,452,391.74
  5. Step 5: Solve for x
    x = 80,452,391.74/11,313.37
  6. Step 6: Final answer
    x = 7,111.27

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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.