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Finding the Fourth Proportional to 12,271.28, 18,409.86 and 3,952.07

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Solution

The fourth proportional to 12,271.28, 18,409.86 and 3,952.07 is: 5,929.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.28 : 18,409.86 = 3,952.07 : x
  2. Step 2: Convert to fraction form
    12,271.28/18,409.86 = 3,952.07/x
  3. Step 3: Cross multiply
    12,271.28x = 18,409.86 × 3,952.07
  4. Step 4: Simplify right side
    12,271.28x = 72,757,055.41
  5. Step 5: Solve for x
    x = 72,757,055.41/12,271.28
  6. Step 6: Final answer
    x = 5,929.05

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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.