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Finding the Fourth Proportional to 11,775.44, 17,658.30 and 4,755.17

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Solution

The fourth proportional to 11,775.44, 17,658.30 and 4,755.17 is: 7,130.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.44 : 17,658.30 = 4,755.17 : x
  2. Step 2: Convert to fraction form
    11,775.44/17,658.30 = 4,755.17/x
  3. Step 3: Cross multiply
    11,775.44x = 17,658.30 × 4,755.17
  4. Step 4: Simplify right side
    11,775.44x = 83,968,218.41
  5. Step 5: Solve for x
    x = 83,968,218.41/11,775.44
  6. Step 6: Final answer
    x = 7,130.79

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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.