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Finding the Fourth Proportional to 8,271.44, 11,414.40 and 4,734.32

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Solution

The fourth proportional to 8,271.44, 11,414.40 and 4,734.32 is: 6,533.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.44 : 11,414.40 = 4,734.32 : x
  2. Step 2: Convert to fraction form
    8,271.44/11,414.40 = 4,734.32/x
  3. Step 3: Cross multiply
    8,271.44x = 11,414.40 × 4,734.32
  4. Step 4: Simplify right side
    8,271.44x = 54,039,422.21
  5. Step 5: Solve for x
    x = 54,039,422.21/8,271.44
  6. Step 6: Final answer
    x = 6,533.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.