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Finding the Fourth Proportional to 10,294.40, 14,201.03 and 6,511.19

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Solution

The fourth proportional to 10,294.40, 14,201.03 and 6,511.19 is: 8,982.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.40 : 14,201.03 = 6,511.19 : x
  2. Step 2: Convert to fraction form
    10,294.40/14,201.03 = 6,511.19/x
  3. Step 3: Cross multiply
    10,294.40x = 14,201.03 × 6,511.19
  4. Step 4: Simplify right side
    10,294.40x = 92,465,500.96
  5. Step 5: Solve for x
    x = 92,465,500.96/10,294.40
  6. Step 6: Final answer
    x = 8,982.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.