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Finding the Fourth Proportional to 10,676.64, 14,733.28 and 5,960

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Solution

The fourth proportional to 10,676.64, 14,733.28 and 5,960 is: 8,224.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.64 : 14,733.28 = 5,960 : x
  2. Step 2: Convert to fraction form
    10,676.64/14,733.28 = 5,960/x
  3. Step 3: Cross multiply
    10,676.64x = 14,733.28 × 5,960
  4. Step 4: Simplify right side
    10,676.64x = 87,810,348.80
  5. Step 5: Solve for x
    x = 87,810,348.80/10,676.64
  6. Step 6: Final answer
    x = 8,224.53

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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.