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Finding the Fourth Proportional to 7,884.73, 11,827.03 and 5,412

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Solution

The fourth proportional to 7,884.73, 11,827.03 and 5,412 is: 8,117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.73 : 11,827.03 = 5,412 : x
  2. Step 2: Convert to fraction form
    7,884.73/11,827.03 = 5,412/x
  3. Step 3: Cross multiply
    7,884.73x = 11,827.03 × 5,412
  4. Step 4: Simplify right side
    7,884.73x = 64,007,886.36
  5. Step 5: Solve for x
    x = 64,007,886.36/7,884.73
  6. Step 6: Final answer
    x = 8,117.96

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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.