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Finding the Fourth Proportional to 7,671.11, 11,450.67 and 6,582.47

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Solution

The fourth proportional to 7,671.11, 11,450.67 and 6,582.47 is: 9,825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.11 : 11,450.67 = 6,582.47 : x
  2. Step 2: Convert to fraction form
    7,671.11/11,450.67 = 6,582.47/x
  3. Step 3: Cross multiply
    7,671.11x = 11,450.67 × 6,582.47
  4. Step 4: Simplify right side
    7,671.11x = 75,373,658.84
  5. Step 5: Solve for x
    x = 75,373,658.84/7,671.11
  6. Step 6: Final answer
    x = 9,825.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.