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Finding the Fourth Proportional to 7,732.52, 11,599.68 and 2,804.48

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Solution

The fourth proportional to 7,732.52, 11,599.68 and 2,804.48 is: 4,207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.52 : 11,599.68 = 2,804.48 : x
  2. Step 2: Convert to fraction form
    7,732.52/11,599.68 = 2,804.48/x
  3. Step 3: Cross multiply
    7,732.52x = 11,599.68 × 2,804.48
  4. Step 4: Simplify right side
    7,732.52x = 32,531,070.57
  5. Step 5: Solve for x
    x = 32,531,070.57/7,732.52
  6. Step 6: Final answer
    x = 4,207.05

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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.