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Finding the Fourth Proportional to 11,765.10, 16,242.03 and 7,286.70

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Solution

The fourth proportional to 11,765.10, 16,242.03 and 7,286.70 is: 10,059.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.10 : 16,242.03 = 7,286.70 : x
  2. Step 2: Convert to fraction form
    11,765.10/16,242.03 = 7,286.70/x
  3. Step 3: Cross multiply
    11,765.10x = 16,242.03 × 7,286.70
  4. Step 4: Simplify right side
    11,765.10x = 118,350,800.00
  5. Step 5: Solve for x
    x = 118,350,800.00/11,765.10
  6. Step 6: Final answer
    x = 10,059.48

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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.