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Finding the Fourth Proportional to 7,408.61, 10,219.21 and 5,169.67

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Solution

The fourth proportional to 7,408.61, 10,219.21 and 5,169.67 is: 7,130.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.61 : 10,219.21 = 5,169.67 : x
  2. Step 2: Convert to fraction form
    7,408.61/10,219.21 = 5,169.67/x
  3. Step 3: Cross multiply
    7,408.61x = 10,219.21 × 5,169.67
  4. Step 4: Simplify right side
    7,408.61x = 52,829,991.45
  5. Step 5: Solve for x
    x = 52,829,991.45/7,408.61
  6. Step 6: Final answer
    x = 7,130.89

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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.