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Finding the Fourth Proportional to 11,180.53, 16,772.82 and 4,603.06

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Solution

The fourth proportional to 11,180.53, 16,772.82 and 4,603.06 is: 6,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180.53 : 16,772.82 = 4,603.06 : x
  2. Step 2: Convert to fraction form
    11,180.53/16,772.82 = 4,603.06/x
  3. Step 3: Cross multiply
    11,180.53x = 16,772.82 × 4,603.06
  4. Step 4: Simplify right side
    11,180.53x = 77,206,296.83
  5. Step 5: Solve for x
    x = 77,206,296.83/11,180.53
  6. Step 6: Final answer
    x = 6,905.42

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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.