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Finding the Fourth Proportional to 10,181.72, 14,051.04 and 5,705.48

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Solution

The fourth proportional to 10,181.72, 14,051.04 and 5,705.48 is: 7,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.72 : 14,051.04 = 5,705.48 : x
  2. Step 2: Convert to fraction form
    10,181.72/14,051.04 = 5,705.48/x
  3. Step 3: Cross multiply
    10,181.72x = 14,051.04 × 5,705.48
  4. Step 4: Simplify right side
    10,181.72x = 80,167,927.70
  5. Step 5: Solve for x
    x = 80,167,927.70/10,181.72
  6. Step 6: Final answer
    x = 7,873.71

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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.