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Finding the Fourth Proportional to 7,464.81, 11,200.86 and 3,083.52

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Solution

The fourth proportional to 7,464.81, 11,200.86 and 3,083.52 is: 4,626.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.81 : 11,200.86 = 3,083.52 : x
  2. Step 2: Convert to fraction form
    7,464.81/11,200.86 = 3,083.52/x
  3. Step 3: Cross multiply
    7,464.81x = 11,200.86 × 3,083.52
  4. Step 4: Simplify right side
    7,464.81x = 34,538,075.83
  5. Step 5: Solve for x
    x = 34,538,075.83/7,464.81
  6. Step 6: Final answer
    x = 4,626.79

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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.