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Finding the Fourth Proportional to 7,884.72, 11,827.71 and 2,619.54

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Solution

The fourth proportional to 7,884.72, 11,827.71 and 2,619.54 is: 3,929.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.72 : 11,827.71 = 2,619.54 : x
  2. Step 2: Convert to fraction form
    7,884.72/11,827.71 = 2,619.54/x
  3. Step 3: Cross multiply
    7,884.72x = 11,827.71 × 2,619.54
  4. Step 4: Simplify right side
    7,884.72x = 30,983,159.45
  5. Step 5: Solve for x
    x = 30,983,159.45/7,884.72
  6. Step 6: Final answer
    x = 3,929.52

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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.