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Finding the Fourth Proportional to 7,523.91, 10,383.03 and 4,166.65

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Solution

The fourth proportional to 7,523.91, 10,383.03 and 4,166.65 is: 5,749.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.91 : 10,383.03 = 4,166.65 : x
  2. Step 2: Convert to fraction form
    7,523.91/10,383.03 = 4,166.65/x
  3. Step 3: Cross multiply
    7,523.91x = 10,383.03 × 4,166.65
  4. Step 4: Simplify right side
    7,523.91x = 43,262,431.12
  5. Step 5: Solve for x
    x = 43,262,431.12/7,523.91
  6. Step 6: Final answer
    x = 5,749.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.