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Finding the Fourth Proportional to 10,796.34, 14,899.11 and 6,322.71

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Solution

The fourth proportional to 10,796.34, 14,899.11 and 6,322.71 is: 8,725.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.34 : 14,899.11 = 6,322.71 : x
  2. Step 2: Convert to fraction form
    10,796.34/14,899.11 = 6,322.71/x
  3. Step 3: Cross multiply
    10,796.34x = 14,899.11 × 6,322.71
  4. Step 4: Simplify right side
    10,796.34x = 94,202,751.79
  5. Step 5: Solve for x
    x = 94,202,751.79/10,796.34
  6. Step 6: Final answer
    x = 8,725.43

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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.