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Finding the Fourth Proportional to 10,633.37, 14,673.94 and 5,853.21

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Solution

The fourth proportional to 10,633.37, 14,673.94 and 5,853.21 is: 8,077.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.37 : 14,673.94 = 5,853.21 : x
  2. Step 2: Convert to fraction form
    10,633.37/14,673.94 = 5,853.21/x
  3. Step 3: Cross multiply
    10,633.37x = 14,673.94 × 5,853.21
  4. Step 4: Simplify right side
    10,633.37x = 85,889,652.35
  5. Step 5: Solve for x
    x = 85,889,652.35/10,633.37
  6. Step 6: Final answer
    x = 8,077.37

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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.