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Finding the Fourth Proportional to 8,184.94, 11,295.22 and 4,458.94

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Solution

The fourth proportional to 8,184.94, 11,295.22 and 4,458.94 is: 6,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.94 : 11,295.22 = 4,458.94 : x
  2. Step 2: Convert to fraction form
    8,184.94/11,295.22 = 4,458.94/x
  3. Step 3: Cross multiply
    8,184.94x = 11,295.22 × 4,458.94
  4. Step 4: Simplify right side
    8,184.94x = 50,364,708.27
  5. Step 5: Solve for x
    x = 50,364,708.27/8,184.94
  6. Step 6: Final answer
    x = 6,153.34

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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.