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Finding the Fourth Proportional to 6,804.35, 10,186.71 and 5,057.10

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Solution

The fourth proportional to 6,804.35, 10,186.71 and 5,057.10 is: 7,570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.35 : 10,186.71 = 5,057.10 : x
  2. Step 2: Convert to fraction form
    6,804.35/10,186.71 = 5,057.10/x
  3. Step 3: Cross multiply
    6,804.35x = 10,186.71 × 5,057.10
  4. Step 4: Simplify right side
    6,804.35x = 51,515,211.14
  5. Step 5: Solve for x
    x = 51,515,211.14/6,804.35
  6. Step 6: Final answer
    x = 7,570.93

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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.