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Finding the Fourth Proportional to 10,356.39, 14,274.74 and 7,327.59

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Solution

The fourth proportional to 10,356.39, 14,274.74 and 7,327.59 is: 10,099.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.39 : 14,274.74 = 7,327.59 : x
  2. Step 2: Convert to fraction form
    10,356.39/14,274.74 = 7,327.59/x
  3. Step 3: Cross multiply
    10,356.39x = 14,274.74 × 7,327.59
  4. Step 4: Simplify right side
    10,356.39x = 104,599,405.44
  5. Step 5: Solve for x
    x = 104,599,405.44/10,356.39
  6. Step 6: Final answer
    x = 10,099.99

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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.