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Finding the Fourth Proportional to 11,852.30, 17,778.72 and 4,061

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Solution

The fourth proportional to 11,852.30, 17,778.72 and 4,061 is: 6,091.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.30 : 17,778.72 = 4,061 : x
  2. Step 2: Convert to fraction form
    11,852.30/17,778.72 = 4,061/x
  3. Step 3: Cross multiply
    11,852.30x = 17,778.72 × 4,061
  4. Step 4: Simplify right side
    11,852.30x = 72,199,381.92
  5. Step 5: Solve for x
    x = 72,199,381.92/11,852.30
  6. Step 6: Final answer
    x = 6,091.59

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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.