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Finding the Fourth Proportional to 7,833.36, 11,749.02 and 1,989.84

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Solution

The fourth proportional to 7,833.36, 11,749.02 and 1,989.84 is: 2,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.36 : 11,749.02 = 1,989.84 : x
  2. Step 2: Convert to fraction form
    7,833.36/11,749.02 = 1,989.84/x
  3. Step 3: Cross multiply
    7,833.36x = 11,749.02 × 1,989.84
  4. Step 4: Simplify right side
    7,833.36x = 23,378,669.96
  5. Step 5: Solve for x
    x = 23,378,669.96/7,833.36
  6. Step 6: Final answer
    x = 2,984.50

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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.