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Finding the Fourth Proportional to 8,311.84, 12,467.62 and 4,807.12

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Solution

The fourth proportional to 8,311.84, 12,467.62 and 4,807.12 is: 7,210.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.84 : 12,467.62 = 4,807.12 : x
  2. Step 2: Convert to fraction form
    8,311.84/12,467.62 = 4,807.12/x
  3. Step 3: Cross multiply
    8,311.84x = 12,467.62 × 4,807.12
  4. Step 4: Simplify right side
    8,311.84x = 59,933,345.45
  5. Step 5: Solve for x
    x = 59,933,345.45/8,311.84
  6. Step 6: Final answer
    x = 7,210.60

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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.