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Finding the Fourth Proportional to 10,683.84, 16,003.88 and 6,288.24

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Solution

The fourth proportional to 10,683.84, 16,003.88 and 6,288.24 is: 9,419.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.84 : 16,003.88 = 6,288.24 : x
  2. Step 2: Convert to fraction form
    10,683.84/16,003.88 = 6,288.24/x
  3. Step 3: Cross multiply
    10,683.84x = 16,003.88 × 6,288.24
  4. Step 4: Simplify right side
    10,683.84x = 100,636,238.37
  5. Step 5: Solve for x
    x = 100,636,238.37/10,683.84
  6. Step 6: Final answer
    x = 9,419.48

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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.