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Finding the Fourth Proportional to 7,274.26, 10,029.67 and 5,659.63

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Solution

The fourth proportional to 7,274.26, 10,029.67 and 5,659.63 is: 7,803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.26 : 10,029.67 = 5,659.63 : x
  2. Step 2: Convert to fraction form
    7,274.26/10,029.67 = 5,659.63/x
  3. Step 3: Cross multiply
    7,274.26x = 10,029.67 × 5,659.63
  4. Step 4: Simplify right side
    7,274.26x = 56,764,248.54
  5. Step 5: Solve for x
    x = 56,764,248.54/7,274.26
  6. Step 6: Final answer
    x = 7,803.44

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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.