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Finding the Fourth Proportional to 10,084.73, 15,094.65 and 5,393

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Solution

The fourth proportional to 10,084.73, 15,094.65 and 5,393 is: 8,072.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.73 : 15,094.65 = 5,393 : x
  2. Step 2: Convert to fraction form
    10,084.73/15,094.65 = 5,393/x
  3. Step 3: Cross multiply
    10,084.73x = 15,094.65 × 5,393
  4. Step 4: Simplify right side
    10,084.73x = 81,405,447.45
  5. Step 5: Solve for x
    x = 81,405,447.45/10,084.73
  6. Step 6: Final answer
    x = 8,072.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.