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Finding the Fourth Proportional to 7,337.49, 11,007.92 and 3,178.19

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Solution

The fourth proportional to 7,337.49, 11,007.92 and 3,178.19 is: 4,768.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,337.49 : 11,007.92 = 3,178.19 : x
  2. Step 2: Convert to fraction form
    7,337.49/11,007.92 = 3,178.19/x
  3. Step 3: Cross multiply
    7,337.49x = 11,007.92 × 3,178.19
  4. Step 4: Simplify right side
    7,337.49x = 34,985,278.85
  5. Step 5: Solve for x
    x = 34,985,278.85/7,337.49
  6. Step 6: Final answer
    x = 4,768.02

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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.