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Finding the Fourth Proportional to 8,313.82, 11,470.68 and 5,126.04

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Solution

The fourth proportional to 8,313.82, 11,470.68 and 5,126.04 is: 7,072.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.82 : 11,470.68 = 5,126.04 : x
  2. Step 2: Convert to fraction form
    8,313.82/11,470.68 = 5,126.04/x
  3. Step 3: Cross multiply
    8,313.82x = 11,470.68 × 5,126.04
  4. Step 4: Simplify right side
    8,313.82x = 58,799,164.51
  5. Step 5: Solve for x
    x = 58,799,164.51/8,313.82
  6. Step 6: Final answer
    x = 7,072.46

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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.