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Finding the Fourth Proportional to 10,104.64, 13,944.06 and 5,628.04

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Solution

The fourth proportional to 10,104.64, 13,944.06 and 5,628.04 is: 7,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.64 : 13,944.06 = 5,628.04 : x
  2. Step 2: Convert to fraction form
    10,104.64/13,944.06 = 5,628.04/x
  3. Step 3: Cross multiply
    10,104.64x = 13,944.06 × 5,628.04
  4. Step 4: Simplify right side
    10,104.64x = 78,477,727.44
  5. Step 5: Solve for x
    x = 78,477,727.44/10,104.64
  6. Step 6: Final answer
    x = 7,766.50

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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.