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Finding the Fourth Proportional to 7,202.32, 10,803.44 and 2,008

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Solution

The fourth proportional to 7,202.32, 10,803.44 and 2,008 is: 3,011.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.32 : 10,803.44 = 2,008 : x
  2. Step 2: Convert to fraction form
    7,202.32/10,803.44 = 2,008/x
  3. Step 3: Cross multiply
    7,202.32x = 10,803.44 × 2,008
  4. Step 4: Simplify right side
    7,202.32x = 21,693,307.52
  5. Step 5: Solve for x
    x = 21,693,307.52/7,202.32
  6. Step 6: Final answer
    x = 3,011.99

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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.