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Finding the Fourth Proportional to 7,507.84, 11,249.46 and 2,574.82

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Solution

The fourth proportional to 7,507.84, 11,249.46 and 2,574.82 is: 3,858.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.84 : 11,249.46 = 2,574.82 : x
  2. Step 2: Convert to fraction form
    7,507.84/11,249.46 = 2,574.82/x
  3. Step 3: Cross multiply
    7,507.84x = 11,249.46 × 2,574.82
  4. Step 4: Simplify right side
    7,507.84x = 28,965,334.60
  5. Step 5: Solve for x
    x = 28,965,334.60/7,507.84
  6. Step 6: Final answer
    x = 3,858.01

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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.