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Finding the Fourth Proportional to 11,886.20, 16,404.69 and 6,849.45

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Solution

The fourth proportional to 11,886.20, 16,404.69 and 6,849.45 is: 9,453.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.20 : 16,404.69 = 6,849.45 : x
  2. Step 2: Convert to fraction form
    11,886.20/16,404.69 = 6,849.45/x
  3. Step 3: Cross multiply
    11,886.20x = 16,404.69 × 6,849.45
  4. Step 4: Simplify right side
    11,886.20x = 112,363,103.92
  5. Step 5: Solve for x
    x = 112,363,103.92/11,886.20
  6. Step 6: Final answer
    x = 9,453.24

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