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Finding the Fourth Proportional to 11,024, 15,213.44 and 6,056.32

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Solution

The fourth proportional to 11,024, 15,213.44 and 6,056.32 is: 8,357.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,024 : 15,213.44 = 6,056.32 : x
  2. Step 2: Convert to fraction form
    11,024/15,213.44 = 6,056.32/x
  3. Step 3: Cross multiply
    11,024x = 15,213.44 × 6,056.32
  4. Step 4: Simplify right side
    11,024x = 92,137,460.94
  5. Step 5: Solve for x
    x = 92,137,460.94/11,024
  6. Step 6: Final answer
    x = 8,357.90

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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.