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Finding the Fourth Proportional to 7,446.48, 11,169.64 and 2,829.48

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Solution

The fourth proportional to 7,446.48, 11,169.64 and 2,829.48 is: 4,244.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.48 : 11,169.64 = 2,829.48 : x
  2. Step 2: Convert to fraction form
    7,446.48/11,169.64 = 2,829.48/x
  3. Step 3: Cross multiply
    7,446.48x = 11,169.64 × 2,829.48
  4. Step 4: Simplify right side
    7,446.48x = 31,604,272.99
  5. Step 5: Solve for x
    x = 31,604,272.99/7,446.48
  6. Step 6: Final answer
    x = 4,244.19

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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.