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Finding the Fourth Proportional to 7,701.43, 11,548.02 and 3,999.94

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Solution

The fourth proportional to 7,701.43, 11,548.02 and 3,999.94 is: 5,997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.43 : 11,548.02 = 3,999.94 : x
  2. Step 2: Convert to fraction form
    7,701.43/11,548.02 = 3,999.94/x
  3. Step 3: Cross multiply
    7,701.43x = 11,548.02 × 3,999.94
  4. Step 4: Simplify right side
    7,701.43x = 46,191,387.12
  5. Step 5: Solve for x
    x = 46,191,387.12/7,701.43
  6. Step 6: Final answer
    x = 5,997.77

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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.