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Finding the Fourth Proportional to 6,989.84, 10,481.44 and 4,068.96

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Solution

The fourth proportional to 6,989.84, 10,481.44 and 4,068.96 is: 6,101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.84 : 10,481.44 = 4,068.96 : x
  2. Step 2: Convert to fraction form
    6,989.84/10,481.44 = 4,068.96/x
  3. Step 3: Cross multiply
    6,989.84x = 10,481.44 × 4,068.96
  4. Step 4: Simplify right side
    6,989.84x = 42,648,560.10
  5. Step 5: Solve for x
    x = 42,648,560.10/6,989.84
  6. Step 6: Final answer
    x = 6,101.51

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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.