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Finding the Fourth Proportional to 10,126.80, 13,969.17 and 6,090.84

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Solution

The fourth proportional to 10,126.80, 13,969.17 and 6,090.84 is: 8,401.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126.80 : 13,969.17 = 6,090.84 : x
  2. Step 2: Convert to fraction form
    10,126.80/13,969.17 = 6,090.84/x
  3. Step 3: Cross multiply
    10,126.80x = 13,969.17 × 6,090.84
  4. Step 4: Simplify right side
    10,126.80x = 85,083,979.40
  5. Step 5: Solve for x
    x = 85,083,979.40/10,126.80
  6. Step 6: Final answer
    x = 8,401.86

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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.