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Finding the Fourth Proportional to 7,839.36, 11,750.82 and 3,675.87

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Solution

The fourth proportional to 7,839.36, 11,750.82 and 3,675.87 is: 5,509.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.36 : 11,750.82 = 3,675.87 : x
  2. Step 2: Convert to fraction form
    7,839.36/11,750.82 = 3,675.87/x
  3. Step 3: Cross multiply
    7,839.36x = 11,750.82 × 3,675.87
  4. Step 4: Simplify right side
    7,839.36x = 43,194,486.71
  5. Step 5: Solve for x
    x = 43,194,486.71/7,839.36
  6. Step 6: Final answer
    x = 5,509.95

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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.