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Finding the Fourth Proportional to 11,849.67, 17,771.77 and 3,528.93

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Solution

The fourth proportional to 11,849.67, 17,771.77 and 3,528.93 is: 5,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.67 : 17,771.77 = 3,528.93 : x
  2. Step 2: Convert to fraction form
    11,849.67/17,771.77 = 3,528.93/x
  3. Step 3: Cross multiply
    11,849.67x = 17,771.77 × 3,528.93
  4. Step 4: Simplify right side
    11,849.67x = 62,715,313.50
  5. Step 5: Solve for x
    x = 62,715,313.50/11,849.67
  6. Step 6: Final answer
    x = 5,292.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.