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Finding the Fourth Proportional to 11,881.62, 17,818.83 and 4,954.50

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Solution

The fourth proportional to 11,881.62, 17,818.83 and 4,954.50 is: 7,430.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.62 : 17,818.83 = 4,954.50 : x
  2. Step 2: Convert to fraction form
    11,881.62/17,818.83 = 4,954.50/x
  3. Step 3: Cross multiply
    11,881.62x = 17,818.83 × 4,954.50
  4. Step 4: Simplify right side
    11,881.62x = 88,283,393.24
  5. Step 5: Solve for x
    x = 88,283,393.24/11,881.62
  6. Step 6: Final answer
    x = 7,430.25

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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.