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Finding the Fourth Proportional to 10,274.64, 14,178.99 and 5,799.33

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Solution

The fourth proportional to 10,274.64, 14,178.99 and 5,799.33 is: 8,003.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.64 : 14,178.99 = 5,799.33 : x
  2. Step 2: Convert to fraction form
    10,274.64/14,178.99 = 5,799.33/x
  3. Step 3: Cross multiply
    10,274.64x = 14,178.99 × 5,799.33
  4. Step 4: Simplify right side
    10,274.64x = 82,228,642.08
  5. Step 5: Solve for x
    x = 82,228,642.08/10,274.64
  6. Step 6: Final answer
    x = 8,003.07

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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.