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Finding the Fourth Proportional to 6,292.41, 8,682.05 and 5,034.54

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Solution

The fourth proportional to 6,292.41, 8,682.05 and 5,034.54 is: 6,946.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.41 : 8,682.05 = 5,034.54 : x
  2. Step 2: Convert to fraction form
    6,292.41/8,682.05 = 5,034.54/x
  3. Step 3: Cross multiply
    6,292.41x = 8,682.05 × 5,034.54
  4. Step 4: Simplify right side
    6,292.41x = 43,710,139.70
  5. Step 5: Solve for x
    x = 43,710,139.70/6,292.41
  6. Step 6: Final answer
    x = 6,946.49

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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.