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Finding the Fourth Proportional to 7,772.13, 11,649.54 and 3,090.93

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Solution

The fourth proportional to 7,772.13, 11,649.54 and 3,090.93 is: 4,632.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.13 : 11,649.54 = 3,090.93 : x
  2. Step 2: Convert to fraction form
    7,772.13/11,649.54 = 3,090.93/x
  3. Step 3: Cross multiply
    7,772.13x = 11,649.54 × 3,090.93
  4. Step 4: Simplify right side
    7,772.13x = 36,007,912.67
  5. Step 5: Solve for x
    x = 36,007,912.67/7,772.13
  6. Step 6: Final answer
    x = 4,632.95

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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.