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Finding the Fourth Proportional to 8,271.69, 12,409.33 and 2,724.77

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Solution

The fourth proportional to 8,271.69, 12,409.33 and 2,724.77 is: 4,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.69 : 12,409.33 = 2,724.77 : x
  2. Step 2: Convert to fraction form
    8,271.69/12,409.33 = 2,724.77/x
  3. Step 3: Cross multiply
    8,271.69x = 12,409.33 × 2,724.77
  4. Step 4: Simplify right side
    8,271.69x = 33,812,570.10
  5. Step 5: Solve for x
    x = 33,812,570.10/8,271.69
  6. Step 6: Final answer
    x = 4,087.75

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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.