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Finding the Fourth Proportional to 10,823.70, 14,936.64 and 6,043.37

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Solution

The fourth proportional to 10,823.70, 14,936.64 and 6,043.37 is: 8,339.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.70 : 14,936.64 = 6,043.37 : x
  2. Step 2: Convert to fraction form
    10,823.70/14,936.64 = 6,043.37/x
  3. Step 3: Cross multiply
    10,823.70x = 14,936.64 × 6,043.37
  4. Step 4: Simplify right side
    10,823.70x = 90,267,642.08
  5. Step 5: Solve for x
    x = 90,267,642.08/10,823.70
  6. Step 6: Final answer
    x = 8,339.81

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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.