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Finding the Fourth Proportional to 6,852.14, 10,262.47 and 4,353.14

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Solution

The fourth proportional to 6,852.14, 10,262.47 and 4,353.14 is: 6,519.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.14 : 10,262.47 = 4,353.14 : x
  2. Step 2: Convert to fraction form
    6,852.14/10,262.47 = 4,353.14/x
  3. Step 3: Cross multiply
    6,852.14x = 10,262.47 × 4,353.14
  4. Step 4: Simplify right side
    6,852.14x = 44,673,968.66
  5. Step 5: Solve for x
    x = 44,673,968.66/6,852.14
  6. Step 6: Final answer
    x = 6,519.71

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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.