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Finding the Fourth Proportional to 6,500.82, 9,752.25 and 2,804.10

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Solution

The fourth proportional to 6,500.82, 9,752.25 and 2,804.10 is: 4,206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.82 : 9,752.25 = 2,804.10 : x
  2. Step 2: Convert to fraction form
    6,500.82/9,752.25 = 2,804.10/x
  3. Step 3: Cross multiply
    6,500.82x = 9,752.25 × 2,804.10
  4. Step 4: Simplify right side
    6,500.82x = 27,346,284.23
  5. Step 5: Solve for x
    x = 27,346,284.23/6,500.82
  6. Step 6: Final answer
    x = 4,206.59

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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.