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Finding the Fourth Proportional to 11,868.96, 16,380.36 and 6,564.18

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Solution

The fourth proportional to 11,868.96, 16,380.36 and 6,564.18 is: 9,059.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.96 : 16,380.36 = 6,564.18 : x
  2. Step 2: Convert to fraction form
    11,868.96/16,380.36 = 6,564.18/x
  3. Step 3: Cross multiply
    11,868.96x = 16,380.36 × 6,564.18
  4. Step 4: Simplify right side
    11,868.96x = 107,523,631.50
  5. Step 5: Solve for x
    x = 107,523,631.50/11,868.96
  6. Step 6: Final answer
    x = 9,059.23

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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.