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Finding the Fourth Proportional to 8,307.89, 11,466.11 and 5,474.83

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Solution

The fourth proportional to 8,307.89, 11,466.11 and 5,474.83 is: 7,556.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.89 : 11,466.11 = 5,474.83 : x
  2. Step 2: Convert to fraction form
    8,307.89/11,466.11 = 5,474.83/x
  3. Step 3: Cross multiply
    8,307.89x = 11,466.11 × 5,474.83
  4. Step 4: Simplify right side
    8,307.89x = 62,774,918.31
  5. Step 5: Solve for x
    x = 62,774,918.31/8,307.89
  6. Step 6: Final answer
    x = 7,556.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.