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Finding the Fourth Proportional to 7,732.89, 11,599.74 and 2,186.64

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Solution

The fourth proportional to 7,732.89, 11,599.74 and 2,186.64 is: 3,280.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.89 : 11,599.74 = 2,186.64 : x
  2. Step 2: Convert to fraction form
    7,732.89/11,599.74 = 2,186.64/x
  3. Step 3: Cross multiply
    7,732.89x = 11,599.74 × 2,186.64
  4. Step 4: Simplify right side
    7,732.89x = 25,364,455.47
  5. Step 5: Solve for x
    x = 25,364,455.47/7,732.89
  6. Step 6: Final answer
    x = 3,280.07

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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.