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Finding the Fourth Proportional to 11,053.34, 16,584.96 and 5,858

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Solution

The fourth proportional to 11,053.34, 16,584.96 and 5,858 is: 8,789.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,053.34 : 16,584.96 = 5,858 : x
  2. Step 2: Convert to fraction form
    11,053.34/16,584.96 = 5,858/x
  3. Step 3: Cross multiply
    11,053.34x = 16,584.96 × 5,858
  4. Step 4: Simplify right side
    11,053.34x = 97,154,695.68
  5. Step 5: Solve for x
    x = 97,154,695.68/11,053.34
  6. Step 6: Final answer
    x = 8,789.62

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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.