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Finding the Fourth Proportional to 7,620.96, 11,431.68 and 3,004

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Solution

The fourth proportional to 7,620.96, 11,431.68 and 3,004 is: 4,506.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,620.96 : 11,431.68 = 3,004 : x
  2. Step 2: Convert to fraction form
    7,620.96/11,431.68 = 3,004/x
  3. Step 3: Cross multiply
    7,620.96x = 11,431.68 × 3,004
  4. Step 4: Simplify right side
    7,620.96x = 34,340,766.72
  5. Step 5: Solve for x
    x = 34,340,766.72/7,620.96
  6. Step 6: Final answer
    x = 4,506.09

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Why These Related Problems?

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