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Finding the Fourth Proportional to 7,689.64, 11,527.54 and 2,758.13

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Solution

The fourth proportional to 7,689.64, 11,527.54 and 2,758.13 is: 4,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.64 : 11,527.54 = 2,758.13 : x
  2. Step 2: Convert to fraction form
    7,689.64/11,527.54 = 2,758.13/x
  3. Step 3: Cross multiply
    7,689.64x = 11,527.54 × 2,758.13
  4. Step 4: Simplify right side
    7,689.64x = 31,794,407.93
  5. Step 5: Solve for x
    x = 31,794,407.93/7,689.64
  6. Step 6: Final answer
    x = 4,134.71

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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.