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Finding the Fourth Proportional to 10,681.44, 14,739 and 5,965.92

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Solution

The fourth proportional to 10,681.44, 14,739 and 5,965.92 is: 8,232.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.44 : 14,739 = 5,965.92 : x
  2. Step 2: Convert to fraction form
    10,681.44/14,739 = 5,965.92/x
  3. Step 3: Cross multiply
    10,681.44x = 14,739 × 5,965.92
  4. Step 4: Simplify right side
    10,681.44x = 87,931,694.88
  5. Step 5: Solve for x
    x = 87,931,694.88/10,681.44
  6. Step 6: Final answer
    x = 8,232.19

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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.