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Finding the Fourth Proportional to 8,152.83, 12,231.09 and 3,473.01

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Solution

The fourth proportional to 8,152.83, 12,231.09 and 3,473.01 is: 5,210.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.83 : 12,231.09 = 3,473.01 : x
  2. Step 2: Convert to fraction form
    8,152.83/12,231.09 = 3,473.01/x
  3. Step 3: Cross multiply
    8,152.83x = 12,231.09 × 3,473.01
  4. Step 4: Simplify right side
    8,152.83x = 42,478,697.88
  5. Step 5: Solve for x
    x = 42,478,697.88/8,152.83
  6. Step 6: Final answer
    x = 5,210.30

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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.