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Finding the Fourth Proportional to 8,453.34, 11,661.68 and 5,470.14

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Solution

The fourth proportional to 8,453.34, 11,661.68 and 5,470.14 is: 7,546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.34 : 11,661.68 = 5,470.14 : x
  2. Step 2: Convert to fraction form
    8,453.34/11,661.68 = 5,470.14/x
  3. Step 3: Cross multiply
    8,453.34x = 11,661.68 × 5,470.14
  4. Step 4: Simplify right side
    8,453.34x = 63,791,022.24
  5. Step 5: Solve for x
    x = 63,791,022.24/8,453.34
  6. Step 6: Final answer
    x = 7,546.25

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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.