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Finding the Fourth Proportional to 7,792.04, 11,682.66 and 2,861

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Solution

The fourth proportional to 7,792.04, 11,682.66 and 2,861 is: 4,289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.04 : 11,682.66 = 2,861 : x
  2. Step 2: Convert to fraction form
    7,792.04/11,682.66 = 2,861/x
  3. Step 3: Cross multiply
    7,792.04x = 11,682.66 × 2,861
  4. Step 4: Simplify right side
    7,792.04x = 33,424,090.26
  5. Step 5: Solve for x
    x = 33,424,090.26/7,792.04
  6. Step 6: Final answer
    x = 4,289.52

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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.