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Finding the Fourth Proportional to 11,835.60, 17,731.80 and 7,213.20

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Solution

The fourth proportional to 11,835.60, 17,731.80 and 7,213.20 is: 10,806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.60 : 17,731.80 = 7,213.20 : x
  2. Step 2: Convert to fraction form
    11,835.60/17,731.80 = 7,213.20/x
  3. Step 3: Cross multiply
    11,835.60x = 17,731.80 × 7,213.20
  4. Step 4: Simplify right side
    11,835.60x = 127,903,019.76
  5. Step 5: Solve for x
    x = 127,903,019.76/11,835.60
  6. Step 6: Final answer
    x = 10,806.64

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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.