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Finding the Fourth Proportional to 10,034.64, 13,843.26 and 6,054.48

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Solution

The fourth proportional to 10,034.64, 13,843.26 and 6,054.48 is: 8,352.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.64 : 13,843.26 = 6,054.48 : x
  2. Step 2: Convert to fraction form
    10,034.64/13,843.26 = 6,054.48/x
  3. Step 3: Cross multiply
    10,034.64x = 13,843.26 × 6,054.48
  4. Step 4: Simplify right side
    10,034.64x = 83,813,740.80
  5. Step 5: Solve for x
    x = 83,813,740.80/10,034.64
  6. Step 6: Final answer
    x = 8,352.44

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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.