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Finding the Fourth Proportional to 10,022.08, 13,821.28 and 8,605.29

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Solution

The fourth proportional to 10,022.08, 13,821.28 and 8,605.29 is: 11,867.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.08 : 13,821.28 = 8,605.29 : x
  2. Step 2: Convert to fraction form
    10,022.08/13,821.28 = 8,605.29/x
  3. Step 3: Cross multiply
    10,022.08x = 13,821.28 × 8,605.29
  4. Step 4: Simplify right side
    10,022.08x = 118,936,123.55
  5. Step 5: Solve for x
    x = 118,936,123.55/10,022.08
  6. Step 6: Final answer
    x = 11,867.41

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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.