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Finding the Fourth Proportional to 7,673.30, 10,591.53 and 5,902.82

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Solution

The fourth proportional to 7,673.30, 10,591.53 and 5,902.82 is: 8,147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.30 : 10,591.53 = 5,902.82 : x
  2. Step 2: Convert to fraction form
    7,673.30/10,591.53 = 5,902.82/x
  3. Step 3: Cross multiply
    7,673.30x = 10,591.53 × 5,902.82
  4. Step 4: Simplify right side
    7,673.30x = 62,519,895.11
  5. Step 5: Solve for x
    x = 62,519,895.11/7,673.30
  6. Step 6: Final answer
    x = 8,147.72

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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.