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Finding the Fourth Proportional to 7,829.28, 10,807.86 and 5,000.34

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Solution

The fourth proportional to 7,829.28, 10,807.86 and 5,000.34 is: 6,902.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.28 : 10,807.86 = 5,000.34 : x
  2. Step 2: Convert to fraction form
    7,829.28/10,807.86 = 5,000.34/x
  3. Step 3: Cross multiply
    7,829.28x = 10,807.86 × 5,000.34
  4. Step 4: Simplify right side
    7,829.28x = 54,042,974.67
  5. Step 5: Solve for x
    x = 54,042,974.67/7,829.28
  6. Step 6: Final answer
    x = 6,902.67

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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.