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Finding the Fourth Proportional to 7,689.49, 11,534.25 and 2,759.44

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Solution

The fourth proportional to 7,689.49, 11,534.25 and 2,759.44 is: 4,139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.49 : 11,534.25 = 2,759.44 : x
  2. Step 2: Convert to fraction form
    7,689.49/11,534.25 = 2,759.44/x
  3. Step 3: Cross multiply
    7,689.49x = 11,534.25 × 2,759.44
  4. Step 4: Simplify right side
    7,689.49x = 31,828,070.82
  5. Step 5: Solve for x
    x = 31,828,070.82/7,689.49
  6. Step 6: Final answer
    x = 4,139.17

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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.