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Finding the Fourth Proportional to 10,181.62, 14,051.22 and 5,706.82

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Solution

The fourth proportional to 10,181.62, 14,051.22 and 5,706.82 is: 7,875.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.62 : 14,051.22 = 5,706.82 : x
  2. Step 2: Convert to fraction form
    10,181.62/14,051.22 = 5,706.82/x
  3. Step 3: Cross multiply
    10,181.62x = 14,051.22 × 5,706.82
  4. Step 4: Simplify right side
    10,181.62x = 80,187,737.49
  5. Step 5: Solve for x
    x = 80,187,737.49/10,181.62
  6. Step 6: Final answer
    x = 7,875.73

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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.