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Finding the Fourth Proportional to 6,138.60, 8,477.10 and 5,020.80

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Solution

The fourth proportional to 6,138.60, 8,477.10 and 5,020.80 is: 6,933.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.60 : 8,477.10 = 5,020.80 : x
  2. Step 2: Convert to fraction form
    6,138.60/8,477.10 = 5,020.80/x
  3. Step 3: Cross multiply
    6,138.60x = 8,477.10 × 5,020.80
  4. Step 4: Simplify right side
    6,138.60x = 42,561,823.68
  5. Step 5: Solve for x
    x = 42,561,823.68/6,138.60
  6. Step 6: Final answer
    x = 6,933.47

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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.