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Finding the Fourth Proportional to 11,815.76, 16,305.76 and 6,510.80

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Solution

The fourth proportional to 11,815.76, 16,305.76 and 6,510.80 is: 8,984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.76 : 16,305.76 = 6,510.80 : x
  2. Step 2: Convert to fraction form
    11,815.76/16,305.76 = 6,510.80/x
  3. Step 3: Cross multiply
    11,815.76x = 16,305.76 × 6,510.80
  4. Step 4: Simplify right side
    11,815.76x = 106,163,542.21
  5. Step 5: Solve for x
    x = 106,163,542.21/11,815.76
  6. Step 6: Final answer
    x = 8,984.91

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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.