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Finding the Fourth Proportional to 7,681.30, 11,519.07 and 3,296.50

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Solution

The fourth proportional to 7,681.30, 11,519.07 and 3,296.50 is: 4,943.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.30 : 11,519.07 = 3,296.50 : x
  2. Step 2: Convert to fraction form
    7,681.30/11,519.07 = 3,296.50/x
  3. Step 3: Cross multiply
    7,681.30x = 11,519.07 × 3,296.50
  4. Step 4: Simplify right side
    7,681.30x = 37,972,614.26
  5. Step 5: Solve for x
    x = 37,972,614.26/7,681.30
  6. Step 6: Final answer
    x = 4,943.51

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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.