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Finding the Fourth Proportional to 10,804.72, 16,213.46 and 4,564.33

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Solution

The fourth proportional to 10,804.72, 16,213.46 and 4,564.33 is: 6,849.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.72 : 16,213.46 = 4,564.33 : x
  2. Step 2: Convert to fraction form
    10,804.72/16,213.46 = 4,564.33/x
  3. Step 3: Cross multiply
    10,804.72x = 16,213.46 × 4,564.33
  4. Step 4: Simplify right side
    10,804.72x = 74,003,529.94
  5. Step 5: Solve for x
    x = 74,003,529.94/10,804.72
  6. Step 6: Final answer
    x = 6,849.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.