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Finding the Fourth Proportional to 8,309.17, 11,466.12 and 5,164.75

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Solution

The fourth proportional to 8,309.17, 11,466.12 and 5,164.75 is: 7,127.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.17 : 11,466.12 = 5,164.75 : x
  2. Step 2: Convert to fraction form
    8,309.17/11,466.12 = 5,164.75/x
  3. Step 3: Cross multiply
    8,309.17x = 11,466.12 × 5,164.75
  4. Step 4: Simplify right side
    8,309.17x = 59,219,643.27
  5. Step 5: Solve for x
    x = 59,219,643.27/8,309.17
  6. Step 6: Final answer
    x = 7,127.02

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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.