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Finding the Fourth Proportional to 11,399.42, 17,114.88 and 7,880.78

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Solution

The fourth proportional to 11,399.42, 17,114.88 and 7,880.78 is: 11,832.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399.42 : 17,114.88 = 7,880.78 : x
  2. Step 2: Convert to fraction form
    11,399.42/17,114.88 = 7,880.78/x
  3. Step 3: Cross multiply
    11,399.42x = 17,114.88 × 7,880.78
  4. Step 4: Simplify right side
    11,399.42x = 134,878,604.01
  5. Step 5: Solve for x
    x = 134,878,604.01/11,399.42
  6. Step 6: Final answer
    x = 11,832.06

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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.