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Finding the Fourth Proportional to 7,857.41, 11,730.12 and 6,825.47

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Solution

The fourth proportional to 7,857.41, 11,730.12 and 6,825.47 is: 10,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.41 : 11,730.12 = 6,825.47 : x
  2. Step 2: Convert to fraction form
    7,857.41/11,730.12 = 6,825.47/x
  3. Step 3: Cross multiply
    7,857.41x = 11,730.12 × 6,825.47
  4. Step 4: Simplify right side
    7,857.41x = 80,063,497.91
  5. Step 5: Solve for x
    x = 80,063,497.91/7,857.41
  6. Step 6: Final answer
    x = 10,189.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.