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Finding the Fourth Proportional to 8,330.23, 11,504.33 and 7,205.77

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Solution

The fourth proportional to 8,330.23, 11,504.33 and 7,205.77 is: 9,951.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,330.23 : 11,504.33 = 7,205.77 : x
  2. Step 2: Convert to fraction form
    8,330.23/11,504.33 = 7,205.77/x
  3. Step 3: Cross multiply
    8,330.23x = 11,504.33 × 7,205.77
  4. Step 4: Simplify right side
    8,330.23x = 82,897,555.98
  5. Step 5: Solve for x
    x = 82,897,555.98/8,330.23
  6. Step 6: Final answer
    x = 9,951.41

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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.