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Finding the Fourth Proportional to 5,123.67, 7,680.69 and 4,667.16

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Solution

The fourth proportional to 5,123.67, 7,680.69 and 4,667.16 is: 6,996.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.67 : 7,680.69 = 4,667.16 : x
  2. Step 2: Convert to fraction form
    5,123.67/7,680.69 = 4,667.16/x
  3. Step 3: Cross multiply
    5,123.67x = 7,680.69 × 4,667.16
  4. Step 4: Simplify right side
    5,123.67x = 35,847,009.14
  5. Step 5: Solve for x
    x = 35,847,009.14/5,123.67
  6. Step 6: Final answer
    x = 6,996.35

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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.