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Finding the Fourth Proportional to 10,556.68, 14,568.02 and 5,840.96

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Solution

The fourth proportional to 10,556.68, 14,568.02 and 5,840.96 is: 8,060.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.68 : 14,568.02 = 5,840.96 : x
  2. Step 2: Convert to fraction form
    10,556.68/14,568.02 = 5,840.96/x
  3. Step 3: Cross multiply
    10,556.68x = 14,568.02 × 5,840.96
  4. Step 4: Simplify right side
    10,556.68x = 85,091,120.05
  5. Step 5: Solve for x
    x = 85,091,120.05/10,556.68
  6. Step 6: Final answer
    x = 8,060.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.