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Finding the Fourth Proportional to 10,356.44, 14,291.94 and 6,164.84

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Solution

The fourth proportional to 10,356.44, 14,291.94 and 6,164.84 is: 8,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.44 : 14,291.94 = 6,164.84 : x
  2. Step 2: Convert to fraction form
    10,356.44/14,291.94 = 6,164.84/x
  3. Step 3: Cross multiply
    10,356.44x = 14,291.94 × 6,164.84
  4. Step 4: Simplify right side
    10,356.44x = 88,107,523.39
  5. Step 5: Solve for x
    x = 88,107,523.39/10,356.44
  6. Step 6: Final answer
    x = 8,507.51

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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.