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Finding the Fourth Proportional to 10,378.09, 14,321.26 and 5,662.09

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Solution

The fourth proportional to 10,378.09, 14,321.26 and 5,662.09 is: 7,813.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.09 : 14,321.26 = 5,662.09 : x
  2. Step 2: Convert to fraction form
    10,378.09/14,321.26 = 5,662.09/x
  3. Step 3: Cross multiply
    10,378.09x = 14,321.26 × 5,662.09
  4. Step 4: Simplify right side
    10,378.09x = 81,088,263.03
  5. Step 5: Solve for x
    x = 81,088,263.03/10,378.09
  6. Step 6: Final answer
    x = 7,813.41

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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.