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Finding the Fourth Proportional to 10,353.96, 14,288.81 and 5,817.44

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Solution

The fourth proportional to 10,353.96, 14,288.81 and 5,817.44 is: 8,028.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.96 : 14,288.81 = 5,817.44 : x
  2. Step 2: Convert to fraction form
    10,353.96/14,288.81 = 5,817.44/x
  3. Step 3: Cross multiply
    10,353.96x = 14,288.81 × 5,817.44
  4. Step 4: Simplify right side
    10,353.96x = 83,124,194.32
  5. Step 5: Solve for x
    x = 83,124,194.32/10,353.96
  6. Step 6: Final answer
    x = 8,028.25

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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.