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Finding the Fourth Proportional to 11,815.29, 16,305.83 and 6,510.10

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Solution

The fourth proportional to 11,815.29, 16,305.83 and 6,510.10 is: 8,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.29 : 16,305.83 = 6,510.10 : x
  2. Step 2: Convert to fraction form
    11,815.29/16,305.83 = 6,510.10/x
  3. Step 3: Cross multiply
    11,815.29x = 16,305.83 × 6,510.10
  4. Step 4: Simplify right side
    11,815.29x = 106,152,583.88
  5. Step 5: Solve for x
    x = 106,152,583.88/11,815.29
  6. Step 6: Final answer
    x = 8,984.34

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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.