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Finding the Fourth Proportional to 7,687.74, 11,533.14 and 2,756.07

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Solution

The fourth proportional to 7,687.74, 11,533.14 and 2,756.07 is: 4,134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.74 : 11,533.14 = 2,756.07 : x
  2. Step 2: Convert to fraction form
    7,687.74/11,533.14 = 2,756.07/x
  3. Step 3: Cross multiply
    7,687.74x = 11,533.14 × 2,756.07
  4. Step 4: Simplify right side
    7,687.74x = 31,786,141.16
  5. Step 5: Solve for x
    x = 31,786,141.16/7,687.74
  6. Step 6: Final answer
    x = 4,134.65

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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.