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Finding the Fourth Proportional to 11,815.92, 16,305.98 and 6,510.69

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Solution

The fourth proportional to 11,815.92, 16,305.98 and 6,510.69 is: 8,984.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.92 : 16,305.98 = 6,510.69 : x
  2. Step 2: Convert to fraction form
    11,815.92/16,305.98 = 6,510.69/x
  3. Step 3: Cross multiply
    11,815.92x = 16,305.98 × 6,510.69
  4. Step 4: Simplify right side
    11,815.92x = 106,163,148.37
  5. Step 5: Solve for x
    x = 106,163,148.37/11,815.92
  6. Step 6: Final answer
    x = 8,984.76

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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.