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Finding the Fourth Proportional to 7,842.06, 11,768.81 and 5,998.50

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Solution

The fourth proportional to 7,842.06, 11,768.81 and 5,998.50 is: 9,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.06 : 11,768.81 = 5,998.50 : x
  2. Step 2: Convert to fraction form
    7,842.06/11,768.81 = 5,998.50/x
  3. Step 3: Cross multiply
    7,842.06x = 11,768.81 × 5,998.50
  4. Step 4: Simplify right side
    7,842.06x = 70,595,176.79
  5. Step 5: Solve for x
    x = 70,595,176.79/7,842.06
  6. Step 6: Final answer
    x = 9,002.12

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Why These Related Problems?

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