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Finding the Fourth Proportional to 10,683.34, 16,004.34 and 6,511.34

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Solution

The fourth proportional to 10,683.34, 16,004.34 and 6,511.34 is: 9,754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.34 : 16,004.34 = 6,511.34 : x
  2. Step 2: Convert to fraction form
    10,683.34/16,004.34 = 6,511.34/x
  3. Step 3: Cross multiply
    10,683.34x = 16,004.34 × 6,511.34
  4. Step 4: Simplify right side
    10,683.34x = 104,209,739.23
  5. Step 5: Solve for x
    x = 104,209,739.23/10,683.34
  6. Step 6: Final answer
    x = 9,754.42

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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.