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Finding the Fourth Proportional to 10,882.94, 16,322.10 and 3,485.41

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Solution

The fourth proportional to 10,882.94, 16,322.10 and 3,485.41 is: 5,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.94 : 16,322.10 = 3,485.41 : x
  2. Step 2: Convert to fraction form
    10,882.94/16,322.10 = 3,485.41/x
  3. Step 3: Cross multiply
    10,882.94x = 16,322.10 × 3,485.41
  4. Step 4: Simplify right side
    10,882.94x = 56,889,248.50
  5. Step 5: Solve for x
    x = 56,889,248.50/10,882.94
  6. Step 6: Final answer
    x = 5,227.38

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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.