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Finding the Fourth Proportional to 7,202.16, 10,802.28 and 2,008.56

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Solution

The fourth proportional to 7,202.16, 10,802.28 and 2,008.56 is: 3,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.16 : 10,802.28 = 2,008.56 : x
  2. Step 2: Convert to fraction form
    7,202.16/10,802.28 = 2,008.56/x
  3. Step 3: Cross multiply
    7,202.16x = 10,802.28 × 2,008.56
  4. Step 4: Simplify right side
    7,202.16x = 21,697,027.52
  5. Step 5: Solve for x
    x = 21,697,027.52/7,202.16
  6. Step 6: Final answer
    x = 3,012.57

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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.