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Finding the Fourth Proportional to 7,379.75, 10,184.10 and 4,235.96

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Solution

The fourth proportional to 7,379.75, 10,184.10 and 4,235.96 is: 5,845.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,379.75 : 10,184.10 = 4,235.96 : x
  2. Step 2: Convert to fraction form
    7,379.75/10,184.10 = 4,235.96/x
  3. Step 3: Cross multiply
    7,379.75x = 10,184.10 × 4,235.96
  4. Step 4: Simplify right side
    7,379.75x = 43,139,440.24
  5. Step 5: Solve for x
    x = 43,139,440.24/7,379.75
  6. Step 6: Final answer
    x = 5,845.65

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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.