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Finding the Fourth Proportional to 7,782.40, 11,651.68 and 6,995.08

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Solution

The fourth proportional to 7,782.40, 11,651.68 and 6,995.08 is: 10,472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.40 : 11,651.68 = 6,995.08 : x
  2. Step 2: Convert to fraction form
    7,782.40/11,651.68 = 6,995.08/x
  3. Step 3: Cross multiply
    7,782.40x = 11,651.68 × 6,995.08
  4. Step 4: Simplify right side
    7,782.40x = 81,504,433.73
  5. Step 5: Solve for x
    x = 81,504,433.73/7,782.40
  6. Step 6: Final answer
    x = 10,472.92

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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.