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Finding the Fourth Proportional to 7,276.56, 10,918.08 and 3,813

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Solution

The fourth proportional to 7,276.56, 10,918.08 and 3,813 is: 5,721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,276.56 : 10,918.08 = 3,813 : x
  2. Step 2: Convert to fraction form
    7,276.56/10,918.08 = 3,813/x
  3. Step 3: Cross multiply
    7,276.56x = 10,918.08 × 3,813
  4. Step 4: Simplify right side
    7,276.56x = 41,630,639.04
  5. Step 5: Solve for x
    x = 41,630,639.04/7,276.56
  6. Step 6: Final answer
    x = 5,721.20

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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.