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Finding the Fourth Proportional to 7,732.94, 11,599.48 and 2,186.16

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Solution

The fourth proportional to 7,732.94, 11,599.48 and 2,186.16 is: 3,279.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.94 : 11,599.48 = 2,186.16 : x
  2. Step 2: Convert to fraction form
    7,732.94/11,599.48 = 2,186.16/x
  3. Step 3: Cross multiply
    7,732.94x = 11,599.48 × 2,186.16
  4. Step 4: Simplify right side
    7,732.94x = 25,358,319.20
  5. Step 5: Solve for x
    x = 25,358,319.20/7,732.94
  6. Step 6: Final answer
    x = 3,279.26

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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.