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Finding the Fourth Proportional to 7,544.57, 10,408.64 and 5,559.86

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Solution

The fourth proportional to 7,544.57, 10,408.64 and 5,559.86 is: 7,670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.57 : 10,408.64 = 5,559.86 : x
  2. Step 2: Convert to fraction form
    7,544.57/10,408.64 = 5,559.86/x
  3. Step 3: Cross multiply
    7,544.57x = 10,408.64 × 5,559.86
  4. Step 4: Simplify right side
    7,544.57x = 57,870,529.15
  5. Step 5: Solve for x
    x = 57,870,529.15/7,544.57
  6. Step 6: Final answer
    x = 7,670.49

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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.