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Finding the Fourth Proportional to 7,782.50, 11,667.26 and 3,620.32

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Solution

The fourth proportional to 7,782.50, 11,667.26 and 3,620.32 is: 5,427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.50 : 11,667.26 = 3,620.32 : x
  2. Step 2: Convert to fraction form
    7,782.50/11,667.26 = 3,620.32/x
  3. Step 3: Cross multiply
    7,782.50x = 11,667.26 × 3,620.32
  4. Step 4: Simplify right side
    7,782.50x = 42,239,194.61
  5. Step 5: Solve for x
    x = 42,239,194.61/7,782.50
  6. Step 6: Final answer
    x = 5,427.46

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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.