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Finding the Fourth Proportional to 7,271.48, 10,907.70 and 2,653.24

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Solution

The fourth proportional to 7,271.48, 10,907.70 and 2,653.24 is: 3,980.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.48 : 10,907.70 = 2,653.24 : x
  2. Step 2: Convert to fraction form
    7,271.48/10,907.70 = 2,653.24/x
  3. Step 3: Cross multiply
    7,271.48x = 10,907.70 × 2,653.24
  4. Step 4: Simplify right side
    7,271.48x = 28,940,745.95
  5. Step 5: Solve for x
    x = 28,940,745.95/7,271.48
  6. Step 6: Final answer
    x = 3,980.04

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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.