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Finding the Fourth Proportional to 8,538.17, 12,807.14 and 3,271.95

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Solution

The fourth proportional to 8,538.17, 12,807.14 and 3,271.95 is: 4,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.17 : 12,807.14 = 3,271.95 : x
  2. Step 2: Convert to fraction form
    8,538.17/12,807.14 = 3,271.95/x
  3. Step 3: Cross multiply
    8,538.17x = 12,807.14 × 3,271.95
  4. Step 4: Simplify right side
    8,538.17x = 41,904,305.36
  5. Step 5: Solve for x
    x = 41,904,305.36/8,538.17
  6. Step 6: Final answer
    x = 4,907.88

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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.