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Finding the Fourth Proportional to 11,141.30, 16,715 and 9,917.26

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Solution

The fourth proportional to 11,141.30, 16,715 and 9,917.26 is: 14,878.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.30 : 16,715 = 9,917.26 : x
  2. Step 2: Convert to fraction form
    11,141.30/16,715 = 9,917.26/x
  3. Step 3: Cross multiply
    11,141.30x = 16,715 × 9,917.26
  4. Step 4: Simplify right side
    11,141.30x = 165,767,000.90
  5. Step 5: Solve for x
    x = 165,767,000.90/11,141.30
  6. Step 6: Final answer
    x = 14,878.60

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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.