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Finding the Fourth Proportional to 11,816.37, 16,305.98 and 6,510.20

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Solution

The fourth proportional to 11,816.37, 16,305.98 and 6,510.20 is: 8,983.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816.37 : 16,305.98 = 6,510.20 : x
  2. Step 2: Convert to fraction form
    11,816.37/16,305.98 = 6,510.20/x
  3. Step 3: Cross multiply
    11,816.37x = 16,305.98 × 6,510.20
  4. Step 4: Simplify right side
    11,816.37x = 106,155,076.92
  5. Step 5: Solve for x
    x = 106,155,076.92/11,816.37
  6. Step 6: Final answer
    x = 8,983.73

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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.