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Finding the Fourth Proportional to 10,005.21, 13,806.99 and 5,528.86

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Solution

The fourth proportional to 10,005.21, 13,806.99 and 5,528.86 is: 7,629.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.21 : 13,806.99 = 5,528.86 : x
  2. Step 2: Convert to fraction form
    10,005.21/13,806.99 = 5,528.86/x
  3. Step 3: Cross multiply
    10,005.21x = 13,806.99 × 5,528.86
  4. Step 4: Simplify right side
    10,005.21x = 76,336,887.09
  5. Step 5: Solve for x
    x = 76,336,887.09/10,005.21
  6. Step 6: Final answer
    x = 7,629.72

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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.