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Finding the Fourth Proportional to 10,778.19, 14,874.00 and 5,998.34

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Solution

The fourth proportional to 10,778.19, 14,874.00 and 5,998.34 is: 8,277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.19 : 14,874.00 = 5,998.34 : x
  2. Step 2: Convert to fraction form
    10,778.19/14,874.00 = 5,998.34/x
  3. Step 3: Cross multiply
    10,778.19x = 14,874.00 × 5,998.34
  4. Step 4: Simplify right side
    10,778.19x = 89,219,219.79
  5. Step 5: Solve for x
    x = 89,219,219.79/10,778.19
  6. Step 6: Final answer
    x = 8,277.76

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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.