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Finding the Fourth Proportional to 8,496.91, 12,746.66 and 4,334.64

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Solution

The fourth proportional to 8,496.91, 12,746.66 and 4,334.64 is: 6,502.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.91 : 12,746.66 = 4,334.64 : x
  2. Step 2: Convert to fraction form
    8,496.91/12,746.66 = 4,334.64/x
  3. Step 3: Cross multiply
    8,496.91x = 12,746.66 × 4,334.64
  4. Step 4: Simplify right side
    8,496.91x = 55,252,208.43
  5. Step 5: Solve for x
    x = 55,252,208.43/8,496.91
  6. Step 6: Final answer
    x = 6,502.63

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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.