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Finding the Fourth Proportional to 11,342.34, 16,998.70 and 5,790.99

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Solution

The fourth proportional to 11,342.34, 16,998.70 and 5,790.99 is: 8,678.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.34 : 16,998.70 = 5,790.99 : x
  2. Step 2: Convert to fraction form
    11,342.34/16,998.70 = 5,790.99/x
  3. Step 3: Cross multiply
    11,342.34x = 16,998.70 × 5,790.99
  4. Step 4: Simplify right side
    11,342.34x = 98,439,202.24
  5. Step 5: Solve for x
    x = 98,439,202.24/11,342.34
  6. Step 6: Final answer
    x = 8,678.92

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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.