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Finding the Fourth Proportional to 7,230.72, 10,852.24 and 2,851.28

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Solution

The fourth proportional to 7,230.72, 10,852.24 and 2,851.28 is: 4,279.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.72 : 10,852.24 = 2,851.28 : x
  2. Step 2: Convert to fraction form
    7,230.72/10,852.24 = 2,851.28/x
  3. Step 3: Cross multiply
    7,230.72x = 10,852.24 × 2,851.28
  4. Step 4: Simplify right side
    7,230.72x = 30,942,774.87
  5. Step 5: Solve for x
    x = 30,942,774.87/7,230.72
  6. Step 6: Final answer
    x = 4,279.35

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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.