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Finding the Fourth Proportional to 6,994.08, 10,511.84 and 6,478.45

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Solution

The fourth proportional to 6,994.08, 10,511.84 and 6,478.45 is: 9,736.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.08 : 10,511.84 = 6,478.45 : x
  2. Step 2: Convert to fraction form
    6,994.08/10,511.84 = 6,478.45/x
  3. Step 3: Cross multiply
    6,994.08x = 10,511.84 × 6,478.45
  4. Step 4: Simplify right side
    6,994.08x = 68,100,419.76
  5. Step 5: Solve for x
    x = 68,100,419.76/6,994.08
  6. Step 6: Final answer
    x = 9,736.87

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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.