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Finding the Fourth Proportional to 8,353.62, 11,511.33 and 6,783.06

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Solution

The fourth proportional to 8,353.62, 11,511.33 and 6,783.06 is: 9,347.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.62 : 11,511.33 = 6,783.06 : x
  2. Step 2: Convert to fraction form
    8,353.62/11,511.33 = 6,783.06/x
  3. Step 3: Cross multiply
    8,353.62x = 11,511.33 × 6,783.06
  4. Step 4: Simplify right side
    8,353.62x = 78,082,042.07
  5. Step 5: Solve for x
    x = 78,082,042.07/8,353.62
  6. Step 6: Final answer
    x = 9,347.09

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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.