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Finding the Fourth Proportional to 7,667.68, 11,502.32 and 3,283.96

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Solution

The fourth proportional to 7,667.68, 11,502.32 and 3,283.96 is: 4,926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.68 : 11,502.32 = 3,283.96 : x
  2. Step 2: Convert to fraction form
    7,667.68/11,502.32 = 3,283.96/x
  3. Step 3: Cross multiply
    7,667.68x = 11,502.32 × 3,283.96
  4. Step 4: Simplify right side
    7,667.68x = 37,773,158.79
  5. Step 5: Solve for x
    x = 37,773,158.79/7,667.68
  6. Step 6: Final answer
    x = 4,926.28

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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.