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Finding the Fourth Proportional to 7,774.25, 11,604.80 and 6,790.10

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Solution

The fourth proportional to 7,774.25, 11,604.80 and 6,790.10 is: 10,135.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.25 : 11,604.80 = 6,790.10 : x
  2. Step 2: Convert to fraction form
    7,774.25/11,604.80 = 6,790.10/x
  3. Step 3: Cross multiply
    7,774.25x = 11,604.80 × 6,790.10
  4. Step 4: Simplify right side
    7,774.25x = 78,797,711.43
  5. Step 5: Solve for x
    x = 78,797,711.43/7,774.25
  6. Step 6: Final answer
    x = 10,135.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.