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Finding the Fourth Proportional to 11,607.60, 17,404.92 and 3,815.76

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Solution

The fourth proportional to 11,607.60, 17,404.92 and 3,815.76 is: 5,721.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.60 : 17,404.92 = 3,815.76 : x
  2. Step 2: Convert to fraction form
    11,607.60/17,404.92 = 3,815.76/x
  3. Step 3: Cross multiply
    11,607.60x = 17,404.92 × 3,815.76
  4. Step 4: Simplify right side
    11,607.60x = 66,412,997.54
  5. Step 5: Solve for x
    x = 66,412,997.54/11,607.60
  6. Step 6: Final answer
    x = 5,721.51

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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.