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Finding the Fourth Proportional to 10,556.55, 14,568 and 5,840.82

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Solution

The fourth proportional to 10,556.55, 14,568 and 5,840.82 is: 8,060.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.55 : 14,568 = 5,840.82 : x
  2. Step 2: Convert to fraction form
    10,556.55/14,568 = 5,840.82/x
  3. Step 3: Cross multiply
    10,556.55x = 14,568 × 5,840.82
  4. Step 4: Simplify right side
    10,556.55x = 85,089,065.76
  5. Step 5: Solve for x
    x = 85,089,065.76/10,556.55
  6. Step 6: Final answer
    x = 8,060.31

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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.