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Finding the Fourth Proportional to 11,815.30, 17,723.76 and 3,917.50

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Solution

The fourth proportional to 11,815.30, 17,723.76 and 3,917.50 is: 5,876.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.30 : 17,723.76 = 3,917.50 : x
  2. Step 2: Convert to fraction form
    11,815.30/17,723.76 = 3,917.50/x
  3. Step 3: Cross multiply
    11,815.30x = 17,723.76 × 3,917.50
  4. Step 4: Simplify right side
    11,815.30x = 69,432,792.84
  5. Step 5: Solve for x
    x = 69,432,792.84/11,815.30
  6. Step 6: Final answer
    x = 5,876.51

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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.