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Finding the Fourth Proportional to 7,647.21, 11,511.11 and 6,519.69

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Solution

The fourth proportional to 7,647.21, 11,511.11 and 6,519.69 is: 9,813.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.21 : 11,511.11 = 6,519.69 : x
  2. Step 2: Convert to fraction form
    7,647.21/11,511.11 = 6,519.69/x
  3. Step 3: Cross multiply
    7,647.21x = 11,511.11 × 6,519.69
  4. Step 4: Simplify right side
    7,647.21x = 75,048,885.06
  5. Step 5: Solve for x
    x = 75,048,885.06/7,647.21
  6. Step 6: Final answer
    x = 9,813.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.