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Finding the Fourth Proportional to 11,887.69, 17,834.50 and 3,567.86

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Solution

The fourth proportional to 11,887.69, 17,834.50 and 3,567.86 is: 5,352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,887.69 : 17,834.50 = 3,567.86 : x
  2. Step 2: Convert to fraction form
    11,887.69/17,834.50 = 3,567.86/x
  3. Step 3: Cross multiply
    11,887.69x = 17,834.50 × 3,567.86
  4. Step 4: Simplify right side
    11,887.69x = 63,631,043.76
  5. Step 5: Solve for x
    x = 63,631,043.76/11,887.69
  6. Step 6: Final answer
    x = 5,352.68

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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.