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Finding the Fourth Proportional to 7,778.88, 11,661.77 and 3,616.76

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Solution

The fourth proportional to 7,778.88, 11,661.77 and 3,616.76 is: 5,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.88 : 11,661.77 = 3,616.76 : x
  2. Step 2: Convert to fraction form
    7,778.88/11,661.77 = 3,616.76/x
  3. Step 3: Cross multiply
    7,778.88x = 11,661.77 × 3,616.76
  4. Step 4: Simplify right side
    7,778.88x = 42,177,861.46
  5. Step 5: Solve for x
    x = 42,177,861.46/7,778.88
  6. Step 6: Final answer
    x = 5,422.10

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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.