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Finding the Fourth Proportional to 10,072.41, 13,901.58 and 8,391.15

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Solution

The fourth proportional to 10,072.41, 13,901.58 and 8,391.15 is: 11,581.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.41 : 13,901.58 = 8,391.15 : x
  2. Step 2: Convert to fraction form
    10,072.41/13,901.58 = 8,391.15/x
  3. Step 3: Cross multiply
    10,072.41x = 13,901.58 × 8,391.15
  4. Step 4: Simplify right side
    10,072.41x = 116,650,243.02
  5. Step 5: Solve for x
    x = 116,650,243.02/10,072.41
  6. Step 6: Final answer
    x = 11,581.17

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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.