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Finding the Fourth Proportional to 7,160.25, 10,745.04 and 5,409.30

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Solution

The fourth proportional to 7,160.25, 10,745.04 and 5,409.30 is: 8,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.25 : 10,745.04 = 5,409.30 : x
  2. Step 2: Convert to fraction form
    7,160.25/10,745.04 = 5,409.30/x
  3. Step 3: Cross multiply
    7,160.25x = 10,745.04 × 5,409.30
  4. Step 4: Simplify right side
    7,160.25x = 58,123,144.87
  5. Step 5: Solve for x
    x = 58,123,144.87/7,160.25
  6. Step 6: Final answer
    x = 8,117.47

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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.