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Finding the Fourth Proportional to 10,722.92, 16,056.43 and 8,631.50

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Solution

The fourth proportional to 10,722.92, 16,056.43 and 8,631.50 is: 12,924.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.92 : 16,056.43 = 8,631.50 : x
  2. Step 2: Convert to fraction form
    10,722.92/16,056.43 = 8,631.50/x
  3. Step 3: Cross multiply
    10,722.92x = 16,056.43 × 8,631.50
  4. Step 4: Simplify right side
    10,722.92x = 138,590,973.68
  5. Step 5: Solve for x
    x = 138,590,973.68/10,722.92
  6. Step 6: Final answer
    x = 12,924.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.