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Finding the Fourth Proportional to 10,736.56, 14,821.52 and 7,202.08

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Solution

The fourth proportional to 10,736.56, 14,821.52 and 7,202.08 is: 9,942.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,736.56 : 14,821.52 = 7,202.08 : x
  2. Step 2: Convert to fraction form
    10,736.56/14,821.52 = 7,202.08/x
  3. Step 3: Cross multiply
    10,736.56x = 14,821.52 × 7,202.08
  4. Step 4: Simplify right side
    10,736.56x = 106,745,772.76
  5. Step 5: Solve for x
    x = 106,745,772.76/10,736.56
  6. Step 6: Final answer
    x = 9,942.27

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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.