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Finding the Fourth Proportional to 7,667.37, 10,580.22 and 4,309.43

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Solution

The fourth proportional to 7,667.37, 10,580.22 and 4,309.43 is: 5,946.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.37 : 10,580.22 = 4,309.43 : x
  2. Step 2: Convert to fraction form
    7,667.37/10,580.22 = 4,309.43/x
  3. Step 3: Cross multiply
    7,667.37x = 10,580.22 × 4,309.43
  4. Step 4: Simplify right side
    7,667.37x = 45,594,664.57
  5. Step 5: Solve for x
    x = 45,594,664.57/7,667.37
  6. Step 6: Final answer
    x = 5,946.58

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