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Finding the Fourth Proportional to 7,780.88, 11,649.44 and 6,993.56

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Solution

The fourth proportional to 7,780.88, 11,649.44 and 6,993.56 is: 10,470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.88 : 11,649.44 = 6,993.56 : x
  2. Step 2: Convert to fraction form
    7,780.88/11,649.44 = 6,993.56/x
  3. Step 3: Cross multiply
    7,780.88x = 11,649.44 × 6,993.56
  4. Step 4: Simplify right side
    7,780.88x = 81,471,057.61
  5. Step 5: Solve for x
    x = 81,471,057.61/7,780.88
  6. Step 6: Final answer
    x = 10,470.67

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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.