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Finding the Fourth Proportional to 7,271.87, 10,909.69 and 2,078.15

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Solution

The fourth proportional to 7,271.87, 10,909.69 and 2,078.15 is: 3,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.87 : 10,909.69 = 2,078.15 : x
  2. Step 2: Convert to fraction form
    7,271.87/10,909.69 = 2,078.15/x
  3. Step 3: Cross multiply
    7,271.87x = 10,909.69 × 2,078.15
  4. Step 4: Simplify right side
    7,271.87x = 22,671,912.53
  5. Step 5: Solve for x
    x = 22,671,912.53/7,271.87
  6. Step 6: Final answer
    x = 3,117.76

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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.