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Finding the Fourth Proportional to 10,412.12, 14,375.66 and 6,164.56

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Solution

The fourth proportional to 10,412.12, 14,375.66 and 6,164.56 is: 8,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.12 : 14,375.66 = 6,164.56 : x
  2. Step 2: Convert to fraction form
    10,412.12/14,375.66 = 6,164.56/x
  3. Step 3: Cross multiply
    10,412.12x = 14,375.66 × 6,164.56
  4. Step 4: Simplify right side
    10,412.12x = 88,619,618.61
  5. Step 5: Solve for x
    x = 88,619,618.61/10,412.12
  6. Step 6: Final answer
    x = 8,511.20

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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.