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Finding the Fourth Proportional to 11,177.42, 15,420.42 and 7,200.83

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Solution

The fourth proportional to 11,177.42, 15,420.42 and 7,200.83 is: 9,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177.42 : 15,420.42 = 7,200.83 : x
  2. Step 2: Convert to fraction form
    11,177.42/15,420.42 = 7,200.83/x
  3. Step 3: Cross multiply
    11,177.42x = 15,420.42 × 7,200.83
  4. Step 4: Simplify right side
    11,177.42x = 111,039,745.85
  5. Step 5: Solve for x
    x = 111,039,745.85/11,177.42
  6. Step 6: Final answer
    x = 9,934.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.