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Finding the Fourth Proportional to 7,271.09, 10,906.67 and 2,591.28

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Solution

The fourth proportional to 7,271.09, 10,906.67 and 2,591.28 is: 3,886.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.09 : 10,906.67 = 2,591.28 : x
  2. Step 2: Convert to fraction form
    7,271.09/10,906.67 = 2,591.28/x
  3. Step 3: Cross multiply
    7,271.09x = 10,906.67 × 2,591.28
  4. Step 4: Simplify right side
    7,271.09x = 28,262,242.32
  5. Step 5: Solve for x
    x = 28,262,242.32/7,271.09
  6. Step 6: Final answer
    x = 3,886.93

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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.