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Finding the Fourth Proportional to 7,782.01, 11,677.10 and 4,668.27

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Solution

The fourth proportional to 7,782.01, 11,677.10 and 4,668.27 is: 7,004.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.01 : 11,677.10 = 4,668.27 : x
  2. Step 2: Convert to fraction form
    7,782.01/11,677.10 = 4,668.27/x
  3. Step 3: Cross multiply
    7,782.01x = 11,677.10 × 4,668.27
  4. Step 4: Simplify right side
    7,782.01x = 54,511,788.49
  5. Step 5: Solve for x
    x = 54,511,788.49/7,782.01
  6. Step 6: Final answer
    x = 7,004.85

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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.