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Finding the Fourth Proportional to 8,490.30, 11,714.67 and 4,951.41

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Solution

The fourth proportional to 8,490.30, 11,714.67 and 4,951.41 is: 6,831.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.30 : 11,714.67 = 4,951.41 : x
  2. Step 2: Convert to fraction form
    8,490.30/11,714.67 = 4,951.41/x
  3. Step 3: Cross multiply
    8,490.30x = 11,714.67 × 4,951.41
  4. Step 4: Simplify right side
    8,490.30x = 58,004,134.18
  5. Step 5: Solve for x
    x = 58,004,134.18/8,490.30
  6. Step 6: Final answer
    x = 6,831.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.