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Finding the Fourth Proportional to 7,732.69, 11,599.13 and 2,186.12

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Solution

The fourth proportional to 7,732.69, 11,599.13 and 2,186.12 is: 3,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.69 : 11,599.13 = 2,186.12 : x
  2. Step 2: Convert to fraction form
    7,732.69/11,599.13 = 2,186.12/x
  3. Step 3: Cross multiply
    7,732.69x = 11,599.13 × 2,186.12
  4. Step 4: Simplify right side
    7,732.69x = 25,357,124.54
  5. Step 5: Solve for x
    x = 25,357,124.54/7,732.69
  6. Step 6: Final answer
    x = 3,279.21

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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.