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Finding the Fourth Proportional to 11,894.90, 17,869.89 and 7,466.36

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Solution

The fourth proportional to 11,894.90, 17,869.89 and 7,466.36 is: 11,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.90 : 17,869.89 = 7,466.36 : x
  2. Step 2: Convert to fraction form
    11,894.90/17,869.89 = 7,466.36/x
  3. Step 3: Cross multiply
    11,894.90x = 17,869.89 × 7,466.36
  4. Step 4: Simplify right side
    11,894.90x = 133,423,031.90
  5. Step 5: Solve for x
    x = 133,423,031.90/11,894.90
  6. Step 6: Final answer
    x = 11,216.83

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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.