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Finding the Fourth Proportional to 10,331.64, 15,485.04 and 4,777.44

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Solution

The fourth proportional to 10,331.64, 15,485.04 and 4,777.44 is: 7,160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,331.64 : 15,485.04 = 4,777.44 : x
  2. Step 2: Convert to fraction form
    10,331.64/15,485.04 = 4,777.44/x
  3. Step 3: Cross multiply
    10,331.64x = 15,485.04 × 4,777.44
  4. Step 4: Simplify right side
    10,331.64x = 73,978,849.50
  5. Step 5: Solve for x
    x = 73,978,849.50/10,331.64
  6. Step 6: Final answer
    x = 7,160.42

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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.