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Finding the Fourth Proportional to 7,829.67, 10,801.53 and 5,180.76

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Solution

The fourth proportional to 7,829.67, 10,801.53 and 5,180.76 is: 7,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.67 : 10,801.53 = 5,180.76 : x
  2. Step 2: Convert to fraction form
    7,829.67/10,801.53 = 5,180.76/x
  3. Step 3: Cross multiply
    7,829.67x = 10,801.53 × 5,180.76
  4. Step 4: Simplify right side
    7,829.67x = 55,960,134.56
  5. Step 5: Solve for x
    x = 55,960,134.56/7,829.67
  6. Step 6: Final answer
    x = 7,147.19

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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.