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Finding the Fourth Proportional to 7,703.10, 11,548.17 and 3,997.35

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Solution

The fourth proportional to 7,703.10, 11,548.17 and 3,997.35 is: 5,992.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.10 : 11,548.17 = 3,997.35 : x
  2. Step 2: Convert to fraction form
    7,703.10/11,548.17 = 3,997.35/x
  3. Step 3: Cross multiply
    7,703.10x = 11,548.17 × 3,997.35
  4. Step 4: Simplify right side
    7,703.10x = 46,162,077.35
  5. Step 5: Solve for x
    x = 46,162,077.35/7,703.10
  6. Step 6: Final answer
    x = 5,992.66

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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.