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Finding the Fourth Proportional to 11,666.08, 16,098.84 and 6,361

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Solution

The fourth proportional to 11,666.08, 16,098.84 and 6,361 is: 8,777.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.08 : 16,098.84 = 6,361 : x
  2. Step 2: Convert to fraction form
    11,666.08/16,098.84 = 6,361/x
  3. Step 3: Cross multiply
    11,666.08x = 16,098.84 × 6,361
  4. Step 4: Simplify right side
    11,666.08x = 102,404,721.24
  5. Step 5: Solve for x
    x = 102,404,721.24/11,666.08
  6. Step 6: Final answer
    x = 8,777.99

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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.