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Finding the Fourth Proportional to 7,699.06, 11,550.75 and 3,540.34

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Solution

The fourth proportional to 7,699.06, 11,550.75 and 3,540.34 is: 5,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.06 : 11,550.75 = 3,540.34 : x
  2. Step 2: Convert to fraction form
    7,699.06/11,550.75 = 3,540.34/x
  3. Step 3: Cross multiply
    7,699.06x = 11,550.75 × 3,540.34
  4. Step 4: Simplify right side
    7,699.06x = 40,893,582.26
  5. Step 5: Solve for x
    x = 40,893,582.26/7,699.06
  6. Step 6: Final answer
    x = 5,311.50

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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.