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Finding the Fourth Proportional to 6,804.09, 10,204.58 and 1,874.16

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Solution

The fourth proportional to 6,804.09, 10,204.58 and 1,874.16 is: 2,810.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.09 : 10,204.58 = 1,874.16 : x
  2. Step 2: Convert to fraction form
    6,804.09/10,204.58 = 1,874.16/x
  3. Step 3: Cross multiply
    6,804.09x = 10,204.58 × 1,874.16
  4. Step 4: Simplify right side
    6,804.09x = 19,125,020.34
  5. Step 5: Solve for x
    x = 19,125,020.34/6,804.09
  6. Step 6: Final answer
    x = 2,810.81

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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.