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Finding the Fourth Proportional to 10,467.94, 14,446.07 and 5,993.13

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Solution

The fourth proportional to 10,467.94, 14,446.07 and 5,993.13 is: 8,270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.94 : 14,446.07 = 5,993.13 : x
  2. Step 2: Convert to fraction form
    10,467.94/14,446.07 = 5,993.13/x
  3. Step 3: Cross multiply
    10,467.94x = 14,446.07 × 5,993.13
  4. Step 4: Simplify right side
    10,467.94x = 86,577,175.50
  5. Step 5: Solve for x
    x = 86,577,175.50/10,467.94
  6. Step 6: Final answer
    x = 8,270.70

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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.