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Finding the Fourth Proportional to 10,291.75, 14,202.63 and 5,576.03

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Solution

The fourth proportional to 10,291.75, 14,202.63 and 5,576.03 is: 7,694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.75 : 14,202.63 = 5,576.03 : x
  2. Step 2: Convert to fraction form
    10,291.75/14,202.63 = 5,576.03/x
  3. Step 3: Cross multiply
    10,291.75x = 14,202.63 × 5,576.03
  4. Step 4: Simplify right side
    10,291.75x = 79,194,245.39
  5. Step 5: Solve for x
    x = 79,194,245.39/10,291.75
  6. Step 6: Final answer
    x = 7,694.93

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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.