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Finding the Fourth Proportional to 11,701.65, 16,148.19 and 6,396.49

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Solution

The fourth proportional to 11,701.65, 16,148.19 and 6,396.49 is: 8,827.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.65 : 16,148.19 = 6,396.49 : x
  2. Step 2: Convert to fraction form
    11,701.65/16,148.19 = 6,396.49/x
  3. Step 3: Cross multiply
    11,701.65x = 16,148.19 × 6,396.49
  4. Step 4: Simplify right side
    11,701.65x = 103,291,735.85
  5. Step 5: Solve for x
    x = 103,291,735.85/11,701.65
  6. Step 6: Final answer
    x = 8,827.11

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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.