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Finding the Fourth Proportional to 7,271.14, 10,906.71 and 2,077.02

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Solution

The fourth proportional to 7,271.14, 10,906.71 and 2,077.02 is: 3,115.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.14 : 10,906.71 = 2,077.02 : x
  2. Step 2: Convert to fraction form
    7,271.14/10,906.71 = 2,077.02/x
  3. Step 3: Cross multiply
    7,271.14x = 10,906.71 × 2,077.02
  4. Step 4: Simplify right side
    7,271.14x = 22,653,416.50
  5. Step 5: Solve for x
    x = 22,653,416.50/7,271.14
  6. Step 6: Final answer
    x = 3,115.52

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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.