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Finding the Fourth Proportional to 7,917.84, 11,871.29 and 3,473.37

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Solution

The fourth proportional to 7,917.84, 11,871.29 and 3,473.37 is: 5,207.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,917.84 : 11,871.29 = 3,473.37 : x
  2. Step 2: Convert to fraction form
    7,917.84/11,871.29 = 3,473.37/x
  3. Step 3: Cross multiply
    7,917.84x = 11,871.29 × 3,473.37
  4. Step 4: Simplify right side
    7,917.84x = 41,233,391.23
  5. Step 5: Solve for x
    x = 41,233,391.23/7,917.84
  6. Step 6: Final answer
    x = 5,207.66

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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.