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Finding the Fourth Proportional to 8,113.96, 11,197.24 and 4,387.96

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Solution

The fourth proportional to 8,113.96, 11,197.24 and 4,387.96 is: 6,055.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.96 : 11,197.24 = 4,387.96 : x
  2. Step 2: Convert to fraction form
    8,113.96/11,197.24 = 4,387.96/x
  3. Step 3: Cross multiply
    8,113.96x = 11,197.24 × 4,387.96
  4. Step 4: Simplify right side
    8,113.96x = 49,133,041.23
  5. Step 5: Solve for x
    x = 49,133,041.23/8,113.96
  6. Step 6: Final answer
    x = 6,055.37

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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.