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Finding the Fourth Proportional to 7,800.09, 11,693.50 and 3,414.27

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Solution

The fourth proportional to 7,800.09, 11,693.50 and 3,414.27 is: 5,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.09 : 11,693.50 = 3,414.27 : x
  2. Step 2: Convert to fraction form
    7,800.09/11,693.50 = 3,414.27/x
  3. Step 3: Cross multiply
    7,800.09x = 11,693.50 × 3,414.27
  4. Step 4: Simplify right side
    7,800.09x = 39,924,766.25
  5. Step 5: Solve for x
    x = 39,924,766.25/7,800.09
  6. Step 6: Final answer
    x = 5,118.50

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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.