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Finding the Fourth Proportional to 11,702.90, 16,149.50 and 6,397.80

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Solution

The fourth proportional to 11,702.90, 16,149.50 and 6,397.80 is: 8,828.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.90 : 16,149.50 = 6,397.80 : x
  2. Step 2: Convert to fraction form
    11,702.90/16,149.50 = 6,397.80/x
  3. Step 3: Cross multiply
    11,702.90x = 16,149.50 × 6,397.80
  4. Step 4: Simplify right side
    11,702.90x = 103,321,271.10
  5. Step 5: Solve for x
    x = 103,321,271.10/11,702.90
  6. Step 6: Final answer
    x = 8,828.69

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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.