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Finding the Fourth Proportional to 11,645.81, 17,475.72 and 4,250.92

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Solution

The fourth proportional to 11,645.81, 17,475.72 and 4,250.92 is: 6,378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.81 : 17,475.72 = 4,250.92 : x
  2. Step 2: Convert to fraction form
    11,645.81/17,475.72 = 4,250.92/x
  3. Step 3: Cross multiply
    11,645.81x = 17,475.72 × 4,250.92
  4. Step 4: Simplify right side
    11,645.81x = 74,287,887.66
  5. Step 5: Solve for x
    x = 74,287,887.66/11,645.81
  6. Step 6: Final answer
    x = 6,378.94

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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.