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Finding the Fourth Proportional to 11,744.16, 16,206.93 and 6,438.86

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Solution

The fourth proportional to 11,744.16, 16,206.93 and 6,438.86 is: 8,885.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.16 : 16,206.93 = 6,438.86 : x
  2. Step 2: Convert to fraction form
    11,744.16/16,206.93 = 6,438.86/x
  3. Step 3: Cross multiply
    11,744.16x = 16,206.93 × 6,438.86
  4. Step 4: Simplify right side
    11,744.16x = 104,354,153.30
  5. Step 5: Solve for x
    x = 104,354,153.30/11,744.16
  6. Step 6: Final answer
    x = 8,885.62

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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.