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Finding the Fourth Proportional to 11,845.60, 17,749.20 and 7,455.20

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Solution

The fourth proportional to 11,845.60, 17,749.20 and 7,455.20 is: 11,170.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,845.60 : 17,749.20 = 7,455.20 : x
  2. Step 2: Convert to fraction form
    11,845.60/17,749.20 = 7,455.20/x
  3. Step 3: Cross multiply
    11,845.60x = 17,749.20 × 7,455.20
  4. Step 4: Simplify right side
    11,845.60x = 132,323,835.84
  5. Step 5: Solve for x
    x = 132,323,835.84/11,845.60
  6. Step 6: Final answer
    x = 11,170.72

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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.