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Finding the Fourth Proportional to 8,025.71, 12,038.59 and 2,182.32

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Solution

The fourth proportional to 8,025.71, 12,038.59 and 2,182.32 is: 3,273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,025.71 : 12,038.59 = 2,182.32 : x
  2. Step 2: Convert to fraction form
    8,025.71/12,038.59 = 2,182.32/x
  3. Step 3: Cross multiply
    8,025.71x = 12,038.59 × 2,182.32
  4. Step 4: Simplify right side
    8,025.71x = 26,271,995.54
  5. Step 5: Solve for x
    x = 26,271,995.54/8,025.71
  6. Step 6: Final answer
    x = 3,273.48

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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.