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Finding the Fourth Proportional to 11,815.10, 16,304.88 and 6,509.80

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Solution

The fourth proportional to 11,815.10, 16,304.88 and 6,509.80 is: 8,983.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.10 : 16,304.88 = 6,509.80 : x
  2. Step 2: Convert to fraction form
    11,815.10/16,304.88 = 6,509.80/x
  3. Step 3: Cross multiply
    11,815.10x = 16,304.88 × 6,509.80
  4. Step 4: Simplify right side
    11,815.10x = 106,141,507.82
  5. Step 5: Solve for x
    x = 106,141,507.82/11,815.10
  6. Step 6: Final answer
    x = 8,983.55

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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.