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Finding the Fourth Proportional to 8,152.98, 12,222.44 and 3,468.70

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Solution

The fourth proportional to 8,152.98, 12,222.44 and 3,468.70 is: 5,200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.98 : 12,222.44 = 3,468.70 : x
  2. Step 2: Convert to fraction form
    8,152.98/12,222.44 = 3,468.70/x
  3. Step 3: Cross multiply
    8,152.98x = 12,222.44 × 3,468.70
  4. Step 4: Simplify right side
    8,152.98x = 42,395,977.63
  5. Step 5: Solve for x
    x = 42,395,977.63/8,152.98
  6. Step 6: Final answer
    x = 5,200.06

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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.