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Finding the Fourth Proportional to 10,556.56, 15,837.24 and 5,623.60

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Solution

The fourth proportional to 10,556.56, 15,837.24 and 5,623.60 is: 8,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.56 : 15,837.24 = 5,623.60 : x
  2. Step 2: Convert to fraction form
    10,556.56/15,837.24 = 5,623.60/x
  3. Step 3: Cross multiply
    10,556.56x = 15,837.24 × 5,623.60
  4. Step 4: Simplify right side
    10,556.56x = 89,062,302.86
  5. Step 5: Solve for x
    x = 89,062,302.86/10,556.56
  6. Step 6: Final answer
    x = 8,436.68

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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.