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Finding the Fourth Proportional to 7,835.20, 10,811.48 and 4,477.48

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Solution

The fourth proportional to 7,835.20, 10,811.48 and 4,477.48 is: 6,178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.20 : 10,811.48 = 4,477.48 : x
  2. Step 2: Convert to fraction form
    7,835.20/10,811.48 = 4,477.48/x
  3. Step 3: Cross multiply
    7,835.20x = 10,811.48 × 4,477.48
  4. Step 4: Simplify right side
    7,835.20x = 48,408,136.05
  5. Step 5: Solve for x
    x = 48,408,136.05/7,835.20
  6. Step 6: Final answer
    x = 6,178.29

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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.