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Finding the Fourth Proportional to 7,829.11, 10,801.11 and 6,834.43

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Solution

The fourth proportional to 7,829.11, 10,801.11 and 6,834.43 is: 9,428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.11 : 10,801.11 = 6,834.43 : x
  2. Step 2: Convert to fraction form
    7,829.11/10,801.11 = 6,834.43/x
  3. Step 3: Cross multiply
    7,829.11x = 10,801.11 × 6,834.43
  4. Step 4: Simplify right side
    7,829.11x = 73,819,430.22
  5. Step 5: Solve for x
    x = 73,819,430.22/7,829.11
  6. Step 6: Final answer
    x = 9,428.84

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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.