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Finding the Fourth Proportional to 7,833.74, 11,748.26 and 4,133.94

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Solution

The fourth proportional to 7,833.74, 11,748.26 and 4,133.94 is: 6,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.74 : 11,748.26 = 4,133.94 : x
  2. Step 2: Convert to fraction form
    7,833.74/11,748.26 = 4,133.94/x
  3. Step 3: Cross multiply
    7,833.74x = 11,748.26 × 4,133.94
  4. Step 4: Simplify right side
    7,833.74x = 48,566,581.27
  5. Step 5: Solve for x
    x = 48,566,581.27/7,833.74
  6. Step 6: Final answer
    x = 6,199.67

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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.