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Finding the Fourth Proportional to 6,807.34, 10,189.79 and 5,243.30

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Solution

The fourth proportional to 6,807.34, 10,189.79 and 5,243.30 is: 7,848.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.34 : 10,189.79 = 5,243.30 : x
  2. Step 2: Convert to fraction form
    6,807.34/10,189.79 = 5,243.30/x
  3. Step 3: Cross multiply
    6,807.34x = 10,189.79 × 5,243.30
  4. Step 4: Simplify right side
    6,807.34x = 53,428,125.91
  5. Step 5: Solve for x
    x = 53,428,125.91/6,807.34
  6. Step 6: Final answer
    x = 7,848.61

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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.