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Finding the Fourth Proportional to 11,675.69, 16,112.45 and 7,483.94

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Solution

The fourth proportional to 11,675.69, 16,112.45 and 7,483.94 is: 10,327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.69 : 16,112.45 = 7,483.94 : x
  2. Step 2: Convert to fraction form
    11,675.69/16,112.45 = 7,483.94/x
  3. Step 3: Cross multiply
    11,675.69x = 16,112.45 × 7,483.94
  4. Step 4: Simplify right side
    11,675.69x = 120,584,609.05
  5. Step 5: Solve for x
    x = 120,584,609.05/11,675.69
  6. Step 6: Final answer
    x = 10,327.84

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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.