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Finding the Fourth Proportional to 10,885.96, 16,328.94 and 5,041

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Solution

The fourth proportional to 10,885.96, 16,328.94 and 5,041 is: 7,561.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.96 : 16,328.94 = 5,041 : x
  2. Step 2: Convert to fraction form
    10,885.96/16,328.94 = 5,041/x
  3. Step 3: Cross multiply
    10,885.96x = 16,328.94 × 5,041
  4. Step 4: Simplify right side
    10,885.96x = 82,314,186.54
  5. Step 5: Solve for x
    x = 82,314,186.54/10,885.96
  6. Step 6: Final answer
    x = 7,561.50

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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.