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Finding the Fourth Proportional to 8,891.75, 12,271.70 and 5,165.75

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Solution

The fourth proportional to 8,891.75, 12,271.70 and 5,165.75 is: 7,129.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,891.75 : 12,271.70 = 5,165.75 : x
  2. Step 2: Convert to fraction form
    8,891.75/12,271.70 = 5,165.75/x
  3. Step 3: Cross multiply
    8,891.75x = 12,271.70 × 5,165.75
  4. Step 4: Simplify right side
    8,891.75x = 63,392,534.28
  5. Step 5: Solve for x
    x = 63,392,534.28/8,891.75
  6. Step 6: Final answer
    x = 7,129.37

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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.