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Finding the Fourth Proportional to 10,825.56, 16,245.60 and 7,029.84

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Solution

The fourth proportional to 10,825.56, 16,245.60 and 7,029.84 is: 10,549.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.56 : 16,245.60 = 7,029.84 : x
  2. Step 2: Convert to fraction form
    10,825.56/16,245.60 = 7,029.84/x
  3. Step 3: Cross multiply
    10,825.56x = 16,245.60 × 7,029.84
  4. Step 4: Simplify right side
    10,825.56x = 114,203,968.70
  5. Step 5: Solve for x
    x = 114,203,968.70/10,825.56
  6. Step 6: Final answer
    x = 10,549.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.