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Finding the Fourth Proportional to 7,282.90, 10,924.35 and 4,507.84

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Solution

The fourth proportional to 7,282.90, 10,924.35 and 4,507.84 is: 6,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.90 : 10,924.35 = 4,507.84 : x
  2. Step 2: Convert to fraction form
    7,282.90/10,924.35 = 4,507.84/x
  3. Step 3: Cross multiply
    7,282.90x = 10,924.35 × 4,507.84
  4. Step 4: Simplify right side
    7,282.90x = 49,245,221.90
  5. Step 5: Solve for x
    x = 49,245,221.90/7,282.90
  6. Step 6: Final answer
    x = 6,761.76

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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.