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Finding the Fourth Proportional to 11,681.06, 16,119.82 and 6,375.88

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Solution

The fourth proportional to 11,681.06, 16,119.82 and 6,375.88 is: 8,798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.06 : 16,119.82 = 6,375.88 : x
  2. Step 2: Convert to fraction form
    11,681.06/16,119.82 = 6,375.88/x
  3. Step 3: Cross multiply
    11,681.06x = 16,119.82 × 6,375.88
  4. Step 4: Simplify right side
    11,681.06x = 102,778,037.94
  5. Step 5: Solve for x
    x = 102,778,037.94/11,681.06
  6. Step 6: Final answer
    x = 8,798.69

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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.