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Finding the Fourth Proportional to 8,551.98, 12,827.94 and 6,831.54

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Solution

The fourth proportional to 8,551.98, 12,827.94 and 6,831.54 is: 10,247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,551.98 : 12,827.94 = 6,831.54 : x
  2. Step 2: Convert to fraction form
    8,551.98/12,827.94 = 6,831.54/x
  3. Step 3: Cross multiply
    8,551.98x = 12,827.94 × 6,831.54
  4. Step 4: Simplify right side
    8,551.98x = 87,634,585.23
  5. Step 5: Solve for x
    x = 87,634,585.23/8,551.98
  6. Step 6: Final answer
    x = 10,247.29

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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.