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Finding the Fourth Proportional to 11,476.88, 17,204.32 and 4,894

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Solution

The fourth proportional to 11,476.88, 17,204.32 and 4,894 is: 7,336.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476.88 : 17,204.32 = 4,894 : x
  2. Step 2: Convert to fraction form
    11,476.88/17,204.32 = 4,894/x
  3. Step 3: Cross multiply
    11,476.88x = 17,204.32 × 4,894
  4. Step 4: Simplify right side
    11,476.88x = 84,197,942.08
  5. Step 5: Solve for x
    x = 84,197,942.08/11,476.88
  6. Step 6: Final answer
    x = 7,336.31

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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.