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Finding the Fourth Proportional to 10,379.94, 14,323.86 and 5,904.06

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Solution

The fourth proportional to 10,379.94, 14,323.86 and 5,904.06 is: 8,147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.94 : 14,323.86 = 5,904.06 : x
  2. Step 2: Convert to fraction form
    10,379.94/14,323.86 = 5,904.06/x
  3. Step 3: Cross multiply
    10,379.94x = 14,323.86 × 5,904.06
  4. Step 4: Simplify right side
    10,379.94x = 84,568,928.87
  5. Step 5: Solve for x
    x = 84,568,928.87/10,379.94
  6. Step 6: Final answer
    x = 8,147.34

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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.