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Finding the Fourth Proportional to 11,136, 16,702.86 and 5,288.88

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Solution

The fourth proportional to 11,136, 16,702.86 and 5,288.88 is: 7,932.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,136 : 16,702.86 = 5,288.88 : x
  2. Step 2: Convert to fraction form
    11,136/16,702.86 = 5,288.88/x
  3. Step 3: Cross multiply
    11,136x = 16,702.86 × 5,288.88
  4. Step 4: Simplify right side
    11,136x = 88,339,422.20
  5. Step 5: Solve for x
    x = 88,339,422.20/11,136
  6. Step 6: Final answer
    x = 7,932.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.