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Finding the Fourth Proportional to 10,676.98, 14,734 and 5,896.63

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Solution

The fourth proportional to 10,676.98, 14,734 and 5,896.63 is: 8,137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.98 : 14,734 = 5,896.63 : x
  2. Step 2: Convert to fraction form
    10,676.98/14,734 = 5,896.63/x
  3. Step 3: Cross multiply
    10,676.98x = 14,734 × 5,896.63
  4. Step 4: Simplify right side
    10,676.98x = 86,880,946.42
  5. Step 5: Solve for x
    x = 86,880,946.42/10,676.98
  6. Step 6: Final answer
    x = 8,137.22

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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.