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Finding the Fourth Proportional to 7,412.72, 10,221.80 and 4,757.94

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Solution

The fourth proportional to 7,412.72, 10,221.80 and 4,757.94 is: 6,560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.72 : 10,221.80 = 4,757.94 : x
  2. Step 2: Convert to fraction form
    7,412.72/10,221.80 = 4,757.94/x
  3. Step 3: Cross multiply
    7,412.72x = 10,221.80 × 4,757.94
  4. Step 4: Simplify right side
    7,412.72x = 48,634,687.30
  5. Step 5: Solve for x
    x = 48,634,687.30/7,412.72
  6. Step 6: Final answer
    x = 6,560.98

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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.