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Finding the Fourth Proportional to 11,855.56, 17,770.56 and 6,303.31

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Solution

The fourth proportional to 11,855.56, 17,770.56 and 6,303.31 is: 9,448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.56 : 17,770.56 = 6,303.31 : x
  2. Step 2: Convert to fraction form
    11,855.56/17,770.56 = 6,303.31/x
  3. Step 3: Cross multiply
    11,855.56x = 17,770.56 × 6,303.31
  4. Step 4: Simplify right side
    11,855.56x = 112,013,348.55
  5. Step 5: Solve for x
    x = 112,013,348.55/11,855.56
  6. Step 6: Final answer
    x = 9,448.17

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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.