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Finding the Fourth Proportional to 7,003.26, 9,664.48 and 3,859.50

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Solution

The fourth proportional to 7,003.26, 9,664.48 and 3,859.50 is: 5,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.26 : 9,664.48 = 3,859.50 : x
  2. Step 2: Convert to fraction form
    7,003.26/9,664.48 = 3,859.50/x
  3. Step 3: Cross multiply
    7,003.26x = 9,664.48 × 3,859.50
  4. Step 4: Simplify right side
    7,003.26x = 37,300,060.56
  5. Step 5: Solve for x
    x = 37,300,060.56/7,003.26
  6. Step 6: Final answer
    x = 5,326.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.