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Finding the Fourth Proportional to 11,777.60, 17,637.24 and 6,572.54

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Solution

The fourth proportional to 11,777.60, 17,637.24 and 6,572.54 is: 9,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.60 : 17,637.24 = 6,572.54 : x
  2. Step 2: Convert to fraction form
    11,777.60/17,637.24 = 6,572.54/x
  3. Step 3: Cross multiply
    11,777.60x = 17,637.24 × 6,572.54
  4. Step 4: Simplify right side
    11,777.60x = 115,921,465.39
  5. Step 5: Solve for x
    x = 115,921,465.39/11,777.60
  6. Step 6: Final answer
    x = 9,842.54

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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.