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Finding the Fourth Proportional to 11,964.06, 16,522.65 and 8,975.16

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Solution

The fourth proportional to 11,964.06, 16,522.65 and 8,975.16 is: 12,394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.06 : 16,522.65 = 8,975.16 : x
  2. Step 2: Convert to fraction form
    11,964.06/16,522.65 = 8,975.16/x
  3. Step 3: Cross multiply
    11,964.06x = 16,522.65 × 8,975.16
  4. Step 4: Simplify right side
    11,964.06x = 148,293,427.37
  5. Step 5: Solve for x
    x = 148,293,427.37/11,964.06
  6. Step 6: Final answer
    x = 12,394.91

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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.