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Finding the Fourth Proportional to 7,476.56, 11,221.76 and 3,781.40

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Solution

The fourth proportional to 7,476.56, 11,221.76 and 3,781.40 is: 5,675.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476.56 : 11,221.76 = 3,781.40 : x
  2. Step 2: Convert to fraction form
    7,476.56/11,221.76 = 3,781.40/x
  3. Step 3: Cross multiply
    7,476.56x = 11,221.76 × 3,781.40
  4. Step 4: Simplify right side
    7,476.56x = 42,433,888.25
  5. Step 5: Solve for x
    x = 42,433,888.25/7,476.56
  6. Step 6: Final answer
    x = 5,675.59

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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.