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Finding the Fourth Proportional to 7,684.74, 11,517.12 and 5,830.38

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Solution

The fourth proportional to 7,684.74, 11,517.12 and 5,830.38 is: 8,737.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.74 : 11,517.12 = 5,830.38 : x
  2. Step 2: Convert to fraction form
    7,684.74/11,517.12 = 5,830.38/x
  3. Step 3: Cross multiply
    7,684.74x = 11,517.12 × 5,830.38
  4. Step 4: Simplify right side
    7,684.74x = 67,149,186.11
  5. Step 5: Solve for x
    x = 67,149,186.11/7,684.74
  6. Step 6: Final answer
    x = 8,737.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.