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Finding the Fourth Proportional to 10,634.97, 14,676.14 and 6,160.16

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Solution

The fourth proportional to 10,634.97, 14,676.14 and 6,160.16 is: 8,500.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.97 : 14,676.14 = 6,160.16 : x
  2. Step 2: Convert to fraction form
    10,634.97/14,676.14 = 6,160.16/x
  3. Step 3: Cross multiply
    10,634.97x = 14,676.14 × 6,160.16
  4. Step 4: Simplify right side
    10,634.97x = 90,407,408.66
  5. Step 5: Solve for x
    x = 90,407,408.66/10,634.97
  6. Step 6: Final answer
    x = 8,500.95

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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.