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Finding the Fourth Proportional to 8,683.64, 13,026.80 and 2,838.88

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Solution

The fourth proportional to 8,683.64, 13,026.80 and 2,838.88 is: 4,258.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.64 : 13,026.80 = 2,838.88 : x
  2. Step 2: Convert to fraction form
    8,683.64/13,026.80 = 2,838.88/x
  3. Step 3: Cross multiply
    8,683.64x = 13,026.80 × 2,838.88
  4. Step 4: Simplify right side
    8,683.64x = 36,981,521.98
  5. Step 5: Solve for x
    x = 36,981,521.98/8,683.64
  6. Step 6: Final answer
    x = 4,258.76

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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.