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Finding the Fourth Proportional to 10,219.54, 14,103.25 and 5,743.70

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Solution

The fourth proportional to 10,219.54, 14,103.25 and 5,743.70 is: 7,926.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.54 : 14,103.25 = 5,743.70 : x
  2. Step 2: Convert to fraction form
    10,219.54/14,103.25 = 5,743.70/x
  3. Step 3: Cross multiply
    10,219.54x = 14,103.25 × 5,743.70
  4. Step 4: Simplify right side
    10,219.54x = 81,004,808.31
  5. Step 5: Solve for x
    x = 81,004,808.31/10,219.54
  6. Step 6: Final answer
    x = 7,926.46

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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.