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Finding the Fourth Proportional to 7,376.25, 11,071.67 and 3,913.50

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Solution

The fourth proportional to 7,376.25, 11,071.67 and 3,913.50 is: 5,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,376.25 : 11,071.67 = 3,913.50 : x
  2. Step 2: Convert to fraction form
    7,376.25/11,071.67 = 3,913.50/x
  3. Step 3: Cross multiply
    7,376.25x = 11,071.67 × 3,913.50
  4. Step 4: Simplify right side
    7,376.25x = 43,328,960.98
  5. Step 5: Solve for x
    x = 43,328,960.98/7,376.25
  6. Step 6: Final answer
    x = 5,874.12

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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.