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Finding the Fourth Proportional to 10,359.97, 14,296.94 and 5,883.84

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Solution

The fourth proportional to 10,359.97, 14,296.94 and 5,883.84 is: 8,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,359.97 : 14,296.94 = 5,883.84 : x
  2. Step 2: Convert to fraction form
    10,359.97/14,296.94 = 5,883.84/x
  3. Step 3: Cross multiply
    10,359.97x = 14,296.94 × 5,883.84
  4. Step 4: Simplify right side
    10,359.97x = 84,120,900.09
  5. Step 5: Solve for x
    x = 84,120,900.09/10,359.97
  6. Step 6: Final answer
    x = 8,119.80

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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.