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Finding the Fourth Proportional to 11,964.51, 16,533.80 and 8,975.16

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Solution

The fourth proportional to 11,964.51, 16,533.80 and 8,975.16 is: 12,402.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.51 : 16,533.80 = 8,975.16 : x
  2. Step 2: Convert to fraction form
    11,964.51/16,533.80 = 8,975.16/x
  3. Step 3: Cross multiply
    11,964.51x = 16,533.80 × 8,975.16
  4. Step 4: Simplify right side
    11,964.51x = 148,393,500.41
  5. Step 5: Solve for x
    x = 148,393,500.41/11,964.51
  6. Step 6: Final answer
    x = 12,402.81

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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.