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Finding the Fourth Proportional to 10,212.68, 15,326.70 and 8,185.16

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Solution

The fourth proportional to 10,212.68, 15,326.70 and 8,185.16 is: 12,283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.68 : 15,326.70 = 8,185.16 : x
  2. Step 2: Convert to fraction form
    10,212.68/15,326.70 = 8,185.16/x
  3. Step 3: Cross multiply
    10,212.68x = 15,326.70 × 8,185.16
  4. Step 4: Simplify right side
    10,212.68x = 125,451,491.77
  5. Step 5: Solve for x
    x = 125,451,491.77/10,212.68
  6. Step 6: Final answer
    x = 12,283.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.