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Finding the Fourth Proportional to 7,408.94, 10,224.09 and 4,051.80

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Solution

The fourth proportional to 7,408.94, 10,224.09 and 4,051.80 is: 5,591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.94 : 10,224.09 = 4,051.80 : x
  2. Step 2: Convert to fraction form
    7,408.94/10,224.09 = 4,051.80/x
  3. Step 3: Cross multiply
    7,408.94x = 10,224.09 × 4,051.80
  4. Step 4: Simplify right side
    7,408.94x = 41,425,967.86
  5. Step 5: Solve for x
    x = 41,425,967.86/7,408.94
  6. Step 6: Final answer
    x = 5,591.35

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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.