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Finding the Fourth Proportional to 7,667.49, 11,497.81 and 5,342.43

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Solution

The fourth proportional to 7,667.49, 11,497.81 and 5,342.43 is: 8,011.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.49 : 11,497.81 = 5,342.43 : x
  2. Step 2: Convert to fraction form
    7,667.49/11,497.81 = 5,342.43/x
  3. Step 3: Cross multiply
    7,667.49x = 11,497.81 × 5,342.43
  4. Step 4: Simplify right side
    7,667.49x = 61,426,260.03
  5. Step 5: Solve for x
    x = 61,426,260.03/7,667.49
  6. Step 6: Final answer
    x = 8,011.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.