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Finding the Fourth Proportional to 8,589.53, 11,849.37 and 5,406.77

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Solution

The fourth proportional to 8,589.53, 11,849.37 and 5,406.77 is: 7,458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.53 : 11,849.37 = 5,406.77 : x
  2. Step 2: Convert to fraction form
    8,589.53/11,849.37 = 5,406.77/x
  3. Step 3: Cross multiply
    8,589.53x = 11,849.37 × 5,406.77
  4. Step 4: Simplify right side
    8,589.53x = 64,066,818.23
  5. Step 5: Solve for x
    x = 64,066,818.23/8,589.53
  6. Step 6: Final answer
    x = 7,458.71

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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.