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Finding the Fourth Proportional to 8,164.47, 11,276.13 and 5,507.25

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Solution

The fourth proportional to 8,164.47, 11,276.13 and 5,507.25 is: 7,606.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.47 : 11,276.13 = 5,507.25 : x
  2. Step 2: Convert to fraction form
    8,164.47/11,276.13 = 5,507.25/x
  3. Step 3: Cross multiply
    8,164.47x = 11,276.13 × 5,507.25
  4. Step 4: Simplify right side
    8,164.47x = 62,100,466.94
  5. Step 5: Solve for x
    x = 62,100,466.94/8,164.47
  6. Step 6: Final answer
    x = 7,606.18

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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.