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Finding the Fourth Proportional to 11,813.56, 16,302.24 and 6,508

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Solution

The fourth proportional to 11,813.56, 16,302.24 and 6,508 is: 8,980.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.56 : 16,302.24 = 6,508 : x
  2. Step 2: Convert to fraction form
    11,813.56/16,302.24 = 6,508/x
  3. Step 3: Cross multiply
    11,813.56x = 16,302.24 × 6,508
  4. Step 4: Simplify right side
    11,813.56x = 106,094,977.92
  5. Step 5: Solve for x
    x = 106,094,977.92/11,813.56
  6. Step 6: Final answer
    x = 8,980.78

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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.