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Finding the Fourth Proportional to 7,271.52, 10,909.46 and 3,111.90

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Solution

The fourth proportional to 7,271.52, 10,909.46 and 3,111.90 is: 4,668.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.52 : 10,909.46 = 3,111.90 : x
  2. Step 2: Convert to fraction form
    7,271.52/10,909.46 = 3,111.90/x
  3. Step 3: Cross multiply
    7,271.52x = 10,909.46 × 3,111.90
  4. Step 4: Simplify right side
    7,271.52x = 33,949,148.57
  5. Step 5: Solve for x
    x = 33,949,148.57/7,271.52
  6. Step 6: Final answer
    x = 4,668.78

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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.