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Finding the Fourth Proportional to 11,937.60, 17,861.37 and 10,725

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Solution

The fourth proportional to 11,937.60, 17,861.37 and 10,725 is: 16,047.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.60 : 17,861.37 = 10,725 : x
  2. Step 2: Convert to fraction form
    11,937.60/17,861.37 = 10,725/x
  3. Step 3: Cross multiply
    11,937.60x = 17,861.37 × 10,725
  4. Step 4: Simplify right side
    11,937.60x = 191,563,193.25
  5. Step 5: Solve for x
    x = 191,563,193.25/11,937.60
  6. Step 6: Final answer
    x = 16,047.04

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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.