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Finding the Fourth Proportional to 7,178.75, 10,762.95 and 4,832.96

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Solution

The fourth proportional to 7,178.75, 10,762.95 and 4,832.96 is: 7,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.75 : 10,762.95 = 4,832.96 : x
  2. Step 2: Convert to fraction form
    7,178.75/10,762.95 = 4,832.96/x
  3. Step 3: Cross multiply
    7,178.75x = 10,762.95 × 4,832.96
  4. Step 4: Simplify right side
    7,178.75x = 52,016,906.83
  5. Step 5: Solve for x
    x = 52,016,906.83/7,178.75
  6. Step 6: Final answer
    x = 7,245.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.