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Finding the Fourth Proportional to 7,677.54, 11,506.73 and 3,289.91

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Solution

The fourth proportional to 7,677.54, 11,506.73 and 3,289.91 is: 4,930.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.54 : 11,506.73 = 3,289.91 : x
  2. Step 2: Convert to fraction form
    7,677.54/11,506.73 = 3,289.91/x
  3. Step 3: Cross multiply
    7,677.54x = 11,506.73 × 3,289.91
  4. Step 4: Simplify right side
    7,677.54x = 37,856,032.11
  5. Step 5: Solve for x
    x = 37,856,032.11/7,677.54
  6. Step 6: Final answer
    x = 4,930.75

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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.