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Finding the Fourth Proportional to 7,792.35, 11,679.69 and 2,792.42

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Solution

The fourth proportional to 7,792.35, 11,679.69 and 2,792.42 is: 4,185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.35 : 11,679.69 = 2,792.42 : x
  2. Step 2: Convert to fraction form
    7,792.35/11,679.69 = 2,792.42/x
  3. Step 3: Cross multiply
    7,792.35x = 11,679.69 × 2,792.42
  4. Step 4: Simplify right side
    7,792.35x = 32,614,541.55
  5. Step 5: Solve for x
    x = 32,614,541.55/7,792.35
  6. Step 6: Final answer
    x = 4,185.46

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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.