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Finding the Fourth Proportional to 8,199.79, 11,317.16 and 4,842.38

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Solution

The fourth proportional to 8,199.79, 11,317.16 and 4,842.38 is: 6,683.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.79 : 11,317.16 = 4,842.38 : x
  2. Step 2: Convert to fraction form
    8,199.79/11,317.16 = 4,842.38/x
  3. Step 3: Cross multiply
    8,199.79x = 11,317.16 × 4,842.38
  4. Step 4: Simplify right side
    8,199.79x = 54,801,989.24
  5. Step 5: Solve for x
    x = 54,801,989.24/8,199.79
  6. Step 6: Final answer
    x = 6,683.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.