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Finding the Fourth Proportional to 8,460.26, 11,669.72 and 5,809.14

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Solution

The fourth proportional to 8,460.26, 11,669.72 and 5,809.14 is: 8,012.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.26 : 11,669.72 = 5,809.14 : x
  2. Step 2: Convert to fraction form
    8,460.26/11,669.72 = 5,809.14/x
  3. Step 3: Cross multiply
    8,460.26x = 11,669.72 × 5,809.14
  4. Step 4: Simplify right side
    8,460.26x = 67,791,037.24
  5. Step 5: Solve for x
    x = 67,791,037.24/8,460.26
  6. Step 6: Final answer
    x = 8,012.88

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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.