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Finding the Fourth Proportional to 11,294.88, 16,940.24 and 4,719.30

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Solution

The fourth proportional to 11,294.88, 16,940.24 and 4,719.30 is: 7,078.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.88 : 16,940.24 = 4,719.30 : x
  2. Step 2: Convert to fraction form
    11,294.88/16,940.24 = 4,719.30/x
  3. Step 3: Cross multiply
    11,294.88x = 16,940.24 × 4,719.30
  4. Step 4: Simplify right side
    11,294.88x = 79,946,074.63
  5. Step 5: Solve for x
    x = 79,946,074.63/11,294.88
  6. Step 6: Final answer
    x = 7,078.08

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Why These Related Problems?

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