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Finding the Fourth Proportional to 7,858.41, 10,844.64 and 4,321.86

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Solution

The fourth proportional to 7,858.41, 10,844.64 and 4,321.86 is: 5,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.41 : 10,844.64 = 4,321.86 : x
  2. Step 2: Convert to fraction form
    7,858.41/10,844.64 = 4,321.86/x
  3. Step 3: Cross multiply
    7,858.41x = 10,844.64 × 4,321.86
  4. Step 4: Simplify right side
    7,858.41x = 46,869,015.83
  5. Step 5: Solve for x
    x = 46,869,015.83/7,858.41
  6. Step 6: Final answer
    x = 5,964.19

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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.