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Finding the Fourth Proportional to 10,559.54, 14,571.96 and 5,843.86

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Solution

The fourth proportional to 10,559.54, 14,571.96 and 5,843.86 is: 8,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.54 : 14,571.96 = 5,843.86 : x
  2. Step 2: Convert to fraction form
    10,559.54/14,571.96 = 5,843.86/x
  3. Step 3: Cross multiply
    10,559.54x = 14,571.96 × 5,843.86
  4. Step 4: Simplify right side
    10,559.54x = 85,156,494.17
  5. Step 5: Solve for x
    x = 85,156,494.17/10,559.54
  6. Step 6: Final answer
    x = 8,064.41

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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.