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Finding the Fourth Proportional to 11,701.98, 16,148.72 and 6,396.80

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Solution

The fourth proportional to 11,701.98, 16,148.72 and 6,396.80 is: 8,827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.98 : 16,148.72 = 6,396.80 : x
  2. Step 2: Convert to fraction form
    11,701.98/16,148.72 = 6,396.80/x
  3. Step 3: Cross multiply
    11,701.98x = 16,148.72 × 6,396.80
  4. Step 4: Simplify right side
    11,701.98x = 103,300,019.37
  5. Step 5: Solve for x
    x = 103,300,019.37/11,701.98
  6. Step 6: Final answer
    x = 8,827.57

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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.