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Finding the Fourth Proportional to 10,126.89, 13,976.03 and 6,149.01

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Solution

The fourth proportional to 10,126.89, 13,976.03 and 6,149.01 is: 8,486.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126.89 : 13,976.03 = 6,149.01 : x
  2. Step 2: Convert to fraction form
    10,126.89/13,976.03 = 6,149.01/x
  3. Step 3: Cross multiply
    10,126.89x = 13,976.03 × 6,149.01
  4. Step 4: Simplify right side
    10,126.89x = 85,938,748.23
  5. Step 5: Solve for x
    x = 85,938,748.23/10,126.89
  6. Step 6: Final answer
    x = 8,486.19

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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.