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Finding the Fourth Proportional to 11,847.56, 16,341.91 and 7,867.04

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Solution

The fourth proportional to 11,847.56, 16,341.91 and 7,867.04 is: 10,851.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.56 : 16,341.91 = 7,867.04 : x
  2. Step 2: Convert to fraction form
    11,847.56/16,341.91 = 7,867.04/x
  3. Step 3: Cross multiply
    11,847.56x = 16,341.91 × 7,867.04
  4. Step 4: Simplify right side
    11,847.56x = 128,562,358.27
  5. Step 5: Solve for x
    x = 128,562,358.27/11,847.56
  6. Step 6: Final answer
    x = 10,851.38

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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.