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Finding the Fourth Proportional to 11,702.14, 16,148.98 and 6,396.96

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Solution

The fourth proportional to 11,702.14, 16,148.98 and 6,396.96 is: 8,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.14 : 16,148.98 = 6,396.96 : x
  2. Step 2: Convert to fraction form
    11,702.14/16,148.98 = 6,396.96/x
  3. Step 3: Cross multiply
    11,702.14x = 16,148.98 × 6,396.96
  4. Step 4: Simplify right side
    11,702.14x = 103,304,379.10
  5. Step 5: Solve for x
    x = 103,304,379.10/11,702.14
  6. Step 6: Final answer
    x = 8,827.82

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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.