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Finding the Fourth Proportional to 6,920, 10,384.32 and 2,816

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Solution

The fourth proportional to 6,920, 10,384.32 and 2,816 is: 4,225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920 : 10,384.32 = 2,816 : x
  2. Step 2: Convert to fraction form
    6,920/10,384.32 = 2,816/x
  3. Step 3: Cross multiply
    6,920x = 10,384.32 × 2,816
  4. Step 4: Simplify right side
    6,920x = 29,242,245.12
  5. Step 5: Solve for x
    x = 29,242,245.12/6,920
  6. Step 6: Final answer
    x = 4,225.76

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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.