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Finding the Fourth Proportional to 7,667.34, 10,580.52 and 4,310.28

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Solution

The fourth proportional to 7,667.34, 10,580.52 and 4,310.28 is: 5,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.34 : 10,580.52 = 4,310.28 : x
  2. Step 2: Convert to fraction form
    7,667.34/10,580.52 = 4,310.28/x
  3. Step 3: Cross multiply
    7,667.34x = 10,580.52 × 4,310.28
  4. Step 4: Simplify right side
    7,667.34x = 45,605,003.75
  5. Step 5: Solve for x
    x = 45,605,003.75/7,667.34
  6. Step 6: Final answer
    x = 5,947.96

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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.