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Finding the Fourth Proportional to 7,164.90, 10,745.25 and 3,004.78

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Solution

The fourth proportional to 7,164.90, 10,745.25 and 3,004.78 is: 4,506.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.90 : 10,745.25 = 3,004.78 : x
  2. Step 2: Convert to fraction form
    7,164.90/10,745.25 = 3,004.78/x
  3. Step 3: Cross multiply
    7,164.90x = 10,745.25 × 3,004.78
  4. Step 4: Simplify right side
    7,164.90x = 32,287,112.30
  5. Step 5: Solve for x
    x = 32,287,112.30/7,164.90
  6. Step 6: Final answer
    x = 4,506.29

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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.