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Finding the Fourth Proportional to 8,536.75, 12,787.81 and 4,831.18

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Solution

The fourth proportional to 8,536.75, 12,787.81 and 4,831.18 is: 7,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.75 : 12,787.81 = 4,831.18 : x
  2. Step 2: Convert to fraction form
    8,536.75/12,787.81 = 4,831.18/x
  3. Step 3: Cross multiply
    8,536.75x = 12,787.81 × 4,831.18
  4. Step 4: Simplify right side
    8,536.75x = 61,780,167.87
  5. Step 5: Solve for x
    x = 61,780,167.87/8,536.75
  6. Step 6: Final answer
    x = 7,236.97

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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.