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Finding the Fourth Proportional to 6,795.64, 10,202.82 and 3,511

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Solution

The fourth proportional to 6,795.64, 10,202.82 and 3,511 is: 5,271.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,795.64 : 10,202.82 = 3,511 : x
  2. Step 2: Convert to fraction form
    6,795.64/10,202.82 = 3,511/x
  3. Step 3: Cross multiply
    6,795.64x = 10,202.82 × 3,511
  4. Step 4: Simplify right side
    6,795.64x = 35,822,101.02
  5. Step 5: Solve for x
    x = 35,822,101.02/6,795.64
  6. Step 6: Final answer
    x = 5,271.34

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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.