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Finding the Fourth Proportional to 7,664.33, 10,557.78 and 6,667.83

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Solution

The fourth proportional to 7,664.33, 10,557.78 and 6,667.83 is: 9,185.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.33 : 10,557.78 = 6,667.83 : x
  2. Step 2: Convert to fraction form
    7,664.33/10,557.78 = 6,667.83/x
  3. Step 3: Cross multiply
    7,664.33x = 10,557.78 × 6,667.83
  4. Step 4: Simplify right side
    7,664.33x = 70,397,457.21
  5. Step 5: Solve for x
    x = 70,397,457.21/7,664.33
  6. Step 6: Final answer
    x = 9,185.07

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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.