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Finding the Fourth Proportional to 11,581.46, 15,973.97 and 7,333.21

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Solution

The fourth proportional to 11,581.46, 15,973.97 and 7,333.21 is: 10,114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,581.46 : 15,973.97 = 7,333.21 : x
  2. Step 2: Convert to fraction form
    11,581.46/15,973.97 = 7,333.21/x
  3. Step 3: Cross multiply
    11,581.46x = 15,973.97 × 7,333.21
  4. Step 4: Simplify right side
    11,581.46x = 117,140,476.54
  5. Step 5: Solve for x
    x = 117,140,476.54/11,581.46
  6. Step 6: Final answer
    x = 10,114.48

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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.