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Finding the Fourth Proportional to 6,274.87, 8,661.13 and 5,024.63

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Solution

The fourth proportional to 6,274.87, 8,661.13 and 5,024.63 is: 6,935.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.87 : 8,661.13 = 5,024.63 : x
  2. Step 2: Convert to fraction form
    6,274.87/8,661.13 = 5,024.63/x
  3. Step 3: Cross multiply
    6,274.87x = 8,661.13 × 5,024.63
  4. Step 4: Simplify right side
    6,274.87x = 43,518,982.72
  5. Step 5: Solve for x
    x = 43,518,982.72/6,274.87
  6. Step 6: Final answer
    x = 6,935.44

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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.