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Finding the Fourth Proportional to 11,291.49, 15,581.21 and 6,815.97

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Solution

The fourth proportional to 11,291.49, 15,581.21 and 6,815.97 is: 9,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.49 : 15,581.21 = 6,815.97 : x
  2. Step 2: Convert to fraction form
    11,291.49/15,581.21 = 6,815.97/x
  3. Step 3: Cross multiply
    11,291.49x = 15,581.21 × 6,815.97
  4. Step 4: Simplify right side
    11,291.49x = 106,201,025.84
  5. Step 5: Solve for x
    x = 106,201,025.84/11,291.49
  6. Step 6: Final answer
    x = 9,405.40

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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.