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Finding the Fourth Proportional to 10,804.96, 16,202.32 and 4,959.84

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Solution

The fourth proportional to 10,804.96, 16,202.32 and 4,959.84 is: 7,437.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.96 : 16,202.32 = 4,959.84 : x
  2. Step 2: Convert to fraction form
    10,804.96/16,202.32 = 4,959.84/x
  3. Step 3: Cross multiply
    10,804.96x = 16,202.32 × 4,959.84
  4. Step 4: Simplify right side
    10,804.96x = 80,360,914.83
  5. Step 5: Solve for x
    x = 80,360,914.83/10,804.96
  6. Step 6: Final answer
    x = 7,437.41

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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.