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Finding the Fourth Proportional to 7,833.06, 11,752.83 and 4,369.50

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Solution

The fourth proportional to 7,833.06, 11,752.83 and 4,369.50 is: 6,556.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.06 : 11,752.83 = 4,369.50 : x
  2. Step 2: Convert to fraction form
    7,833.06/11,752.83 = 4,369.50/x
  3. Step 3: Cross multiply
    7,833.06x = 11,752.83 × 4,369.50
  4. Step 4: Simplify right side
    7,833.06x = 51,353,990.69
  5. Step 5: Solve for x
    x = 51,353,990.69/7,833.06
  6. Step 6: Final answer
    x = 6,556.06

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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.