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Finding the Fourth Proportional to 7,853.31, 11,779.97 and 4,933.67

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Solution

The fourth proportional to 7,853.31, 11,779.97 and 4,933.67 is: 7,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.31 : 11,779.97 = 4,933.67 : x
  2. Step 2: Convert to fraction form
    7,853.31/11,779.97 = 4,933.67/x
  3. Step 3: Cross multiply
    7,853.31x = 11,779.97 × 4,933.67
  4. Step 4: Simplify right side
    7,853.31x = 58,118,401.02
  5. Step 5: Solve for x
    x = 58,118,401.02/7,853.31
  6. Step 6: Final answer
    x = 7,400.50

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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.