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Finding the Fourth Proportional to 10,887.92, 15,028 and 6,174.96

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Solution

The fourth proportional to 10,887.92, 15,028 and 6,174.96 is: 8,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,887.92 : 15,028 = 6,174.96 : x
  2. Step 2: Convert to fraction form
    10,887.92/15,028 = 6,174.96/x
  3. Step 3: Cross multiply
    10,887.92x = 15,028 × 6,174.96
  4. Step 4: Simplify right side
    10,887.92x = 92,797,298.88
  5. Step 5: Solve for x
    x = 92,797,298.88/10,887.92
  6. Step 6: Final answer
    x = 8,522.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.