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Finding the Fourth Proportional to 7,408.74, 10,224.08 and 4,051.57

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Solution

The fourth proportional to 7,408.74, 10,224.08 and 4,051.57 is: 5,591.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.74 : 10,224.08 = 4,051.57 : x
  2. Step 2: Convert to fraction form
    7,408.74/10,224.08 = 4,051.57/x
  3. Step 3: Cross multiply
    7,408.74x = 10,224.08 × 4,051.57
  4. Step 4: Simplify right side
    7,408.74x = 41,423,529.99
  5. Step 5: Solve for x
    x = 41,423,529.99/7,408.74
  6. Step 6: Final answer
    x = 5,591.17

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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.