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Finding the Fourth Proportional to 7,507.64, 11,262.84 and 2,577.78

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Solution

The fourth proportional to 7,507.64, 11,262.84 and 2,577.78 is: 3,867.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.64 : 11,262.84 = 2,577.78 : x
  2. Step 2: Convert to fraction form
    7,507.64/11,262.84 = 2,577.78/x
  3. Step 3: Cross multiply
    7,507.64x = 11,262.84 × 2,577.78
  4. Step 4: Simplify right side
    7,507.64x = 29,033,123.70
  5. Step 5: Solve for x
    x = 29,033,123.70/7,507.64
  6. Step 6: Final answer
    x = 3,867.14

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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.