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Finding the Fourth Proportional to 10,889.64, 16,336.20 and 3,871.92

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Solution

The fourth proportional to 10,889.64, 16,336.20 and 3,871.92 is: 5,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,889.64 : 16,336.20 = 3,871.92 : x
  2. Step 2: Convert to fraction form
    10,889.64/16,336.20 = 3,871.92/x
  3. Step 3: Cross multiply
    10,889.64x = 16,336.20 × 3,871.92
  4. Step 4: Simplify right side
    10,889.64x = 63,252,459.50
  5. Step 5: Solve for x
    x = 63,252,459.50/10,889.64
  6. Step 6: Final answer
    x = 5,808.50

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Why These Related Problems?

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