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Finding the Fourth Proportional to 11,051.34, 16,581.96 and 5,856

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Solution

The fourth proportional to 11,051.34, 16,581.96 and 5,856 is: 8,786.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,051.34 : 16,581.96 = 5,856 : x
  2. Step 2: Convert to fraction form
    11,051.34/16,581.96 = 5,856/x
  3. Step 3: Cross multiply
    11,051.34x = 16,581.96 × 5,856
  4. Step 4: Simplify right side
    11,051.34x = 97,103,957.76
  5. Step 5: Solve for x
    x = 97,103,957.76/11,051.34
  6. Step 6: Final answer
    x = 8,786.62

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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.