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Finding the Fourth Proportional to 10,674.28, 14,727.76 and 7,094.43

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Solution

The fourth proportional to 10,674.28, 14,727.76 and 7,094.43 is: 9,788.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.28 : 14,727.76 = 7,094.43 : x
  2. Step 2: Convert to fraction form
    10,674.28/14,727.76 = 7,094.43/x
  3. Step 3: Cross multiply
    10,674.28x = 14,727.76 × 7,094.43
  4. Step 4: Simplify right side
    10,674.28x = 104,485,026.90
  5. Step 5: Solve for x
    x = 104,485,026.90/10,674.28
  6. Step 6: Final answer
    x = 9,788.49

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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.