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Finding the Fourth Proportional to 10,084.83, 13,917 and 5,608.32

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Solution

The fourth proportional to 10,084.83, 13,917 and 5,608.32 is: 7,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.83 : 13,917 = 5,608.32 : x
  2. Step 2: Convert to fraction form
    10,084.83/13,917 = 5,608.32/x
  3. Step 3: Cross multiply
    10,084.83x = 13,917 × 5,608.32
  4. Step 4: Simplify right side
    10,084.83x = 78,050,989.44
  5. Step 5: Solve for x
    x = 78,050,989.44/10,084.83
  6. Step 6: Final answer
    x = 7,739.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.