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Finding the Fourth Proportional to 10,609.36, 14,640.96 and 5,893.84

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Solution

The fourth proportional to 10,609.36, 14,640.96 and 5,893.84 is: 8,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.36 : 14,640.96 = 5,893.84 : x
  2. Step 2: Convert to fraction form
    10,609.36/14,640.96 = 5,893.84/x
  3. Step 3: Cross multiply
    10,609.36x = 14,640.96 × 5,893.84
  4. Step 4: Simplify right side
    10,609.36x = 86,291,475.69
  5. Step 5: Solve for x
    x = 86,291,475.69/10,609.36
  6. Step 6: Final answer
    x = 8,133.52

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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.