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Finding the Fourth Proportional to 10,289.14, 14,199 and 5,573.44

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Solution

The fourth proportional to 10,289.14, 14,199 and 5,573.44 is: 7,691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.14 : 14,199 = 5,573.44 : x
  2. Step 2: Convert to fraction form
    10,289.14/14,199 = 5,573.44/x
  3. Step 3: Cross multiply
    10,289.14x = 14,199 × 5,573.44
  4. Step 4: Simplify right side
    10,289.14x = 79,137,274.56
  5. Step 5: Solve for x
    x = 79,137,274.56/10,289.14
  6. Step 6: Final answer
    x = 7,691.34

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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.