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Finding the Fourth Proportional to 11,624.21, 16,040.43 and 7,375.96

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Solution

The fourth proportional to 11,624.21, 16,040.43 and 7,375.96 is: 10,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.21 : 16,040.43 = 7,375.96 : x
  2. Step 2: Convert to fraction form
    11,624.21/16,040.43 = 7,375.96/x
  3. Step 3: Cross multiply
    11,624.21x = 16,040.43 × 7,375.96
  4. Step 4: Simplify right side
    11,624.21x = 118,313,590.11
  5. Step 5: Solve for x
    x = 118,313,590.11/11,624.21
  6. Step 6: Final answer
    x = 10,178.21

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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.