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Finding the Fourth Proportional to 10,004.75, 13,806.75 and 5,528.69

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Solution

The fourth proportional to 10,004.75, 13,806.75 and 5,528.69 is: 7,629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.75 : 13,806.75 = 5,528.69 : x
  2. Step 2: Convert to fraction form
    10,004.75/13,806.75 = 5,528.69/x
  3. Step 3: Cross multiply
    10,004.75x = 13,806.75 × 5,528.69
  4. Step 4: Simplify right side
    10,004.75x = 76,333,171.62
  5. Step 5: Solve for x
    x = 76,333,171.62/10,004.75
  6. Step 6: Final answer
    x = 7,629.70

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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.