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Finding the Fourth Proportional to 7,475.94, 11,221.20 and 5,704.38

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Solution

The fourth proportional to 7,475.94, 11,221.20 and 5,704.38 is: 8,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.94 : 11,221.20 = 5,704.38 : x
  2. Step 2: Convert to fraction form
    7,475.94/11,221.20 = 5,704.38/x
  3. Step 3: Cross multiply
    7,475.94x = 11,221.20 × 5,704.38
  4. Step 4: Simplify right side
    7,475.94x = 64,009,988.86
  5. Step 5: Solve for x
    x = 64,009,988.86/7,475.94
  6. Step 6: Final answer
    x = 8,562.13

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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.