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Finding the Fourth Proportional to 7,537.92, 10,402.62 and 4,667.28

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Solution

The fourth proportional to 7,537.92, 10,402.62 and 4,667.28 is: 6,441.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.92 : 10,402.62 = 4,667.28 : x
  2. Step 2: Convert to fraction form
    7,537.92/10,402.62 = 4,667.28/x
  3. Step 3: Cross multiply
    7,537.92x = 10,402.62 × 4,667.28
  4. Step 4: Simplify right side
    7,537.92x = 48,551,940.27
  5. Step 5: Solve for x
    x = 48,551,940.27/7,537.92
  6. Step 6: Final answer
    x = 6,441.03

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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.