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Finding the Fourth Proportional to 6,989.34, 10,476.06 and 3,652.44

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Solution

The fourth proportional to 6,989.34, 10,476.06 and 3,652.44 is: 5,474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.34 : 10,476.06 = 3,652.44 : x
  2. Step 2: Convert to fraction form
    6,989.34/10,476.06 = 3,652.44/x
  3. Step 3: Cross multiply
    6,989.34x = 10,476.06 × 3,652.44
  4. Step 4: Simplify right side
    6,989.34x = 38,263,196.80
  5. Step 5: Solve for x
    x = 38,263,196.80/6,989.34
  6. Step 6: Final answer
    x = 5,474.51

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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.