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Finding the Fourth Proportional to 8,334.44, 11,496.22 and 6,340.64

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Solution

The fourth proportional to 8,334.44, 11,496.22 and 6,340.64 is: 8,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,334.44 : 11,496.22 = 6,340.64 : x
  2. Step 2: Convert to fraction form
    8,334.44/11,496.22 = 6,340.64/x
  3. Step 3: Cross multiply
    8,334.44x = 11,496.22 × 6,340.64
  4. Step 4: Simplify right side
    8,334.44x = 72,893,392.38
  5. Step 5: Solve for x
    x = 72,893,392.38/8,334.44
  6. Step 6: Final answer
    x = 8,746.05

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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.