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Finding the Fourth Proportional to 7,829.19, 10,807.83 and 5,000.31

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Solution

The fourth proportional to 7,829.19, 10,807.83 and 5,000.31 is: 6,902.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.19 : 10,807.83 = 5,000.31 : x
  2. Step 2: Convert to fraction form
    7,829.19/10,807.83 = 5,000.31/x
  3. Step 3: Cross multiply
    7,829.19x = 10,807.83 × 5,000.31
  4. Step 4: Simplify right side
    7,829.19x = 54,042,500.43
  5. Step 5: Solve for x
    x = 54,042,500.43/7,829.19
  6. Step 6: Final answer
    x = 6,902.69

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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.