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Finding the Fourth Proportional to 7,359.39, 11,022.92 and 6,783.24

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Solution

The fourth proportional to 7,359.39, 11,022.92 and 6,783.24 is: 10,159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,359.39 : 11,022.92 = 6,783.24 : x
  2. Step 2: Convert to fraction form
    7,359.39/11,022.92 = 6,783.24/x
  3. Step 3: Cross multiply
    7,359.39x = 11,022.92 × 6,783.24
  4. Step 4: Simplify right side
    7,359.39x = 74,771,144.72
  5. Step 5: Solve for x
    x = 74,771,144.72/7,359.39
  6. Step 6: Final answer
    x = 10,159.96

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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.