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Finding the Fourth Proportional to 7,842.38, 11,747.63 and 3,676.55

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Solution

The fourth proportional to 7,842.38, 11,747.63 and 3,676.55 is: 5,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.38 : 11,747.63 = 3,676.55 : x
  2. Step 2: Convert to fraction form
    7,842.38/11,747.63 = 3,676.55/x
  3. Step 3: Cross multiply
    7,842.38x = 11,747.63 × 3,676.55
  4. Step 4: Simplify right side
    7,842.38x = 43,190,699.53
  5. Step 5: Solve for x
    x = 43,190,699.53/7,842.38
  6. Step 6: Final answer
    x = 5,507.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.