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Finding the Fourth Proportional to 7,783.43, 11,665.91 and 4,489.72

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Solution

The fourth proportional to 7,783.43, 11,665.91 and 4,489.72 is: 6,729.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.43 : 11,665.91 = 4,489.72 : x
  2. Step 2: Convert to fraction form
    7,783.43/11,665.91 = 4,489.72/x
  3. Step 3: Cross multiply
    7,783.43x = 11,665.91 × 4,489.72
  4. Step 4: Simplify right side
    7,783.43x = 52,376,651.50
  5. Step 5: Solve for x
    x = 52,376,651.50/7,783.43
  6. Step 6: Final answer
    x = 6,729.25

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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.