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Finding the Fourth Proportional to 6,263.74, 8,641.74 and 3,744.10

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Solution

The fourth proportional to 6,263.74, 8,641.74 and 3,744.10 is: 5,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,263.74 : 8,641.74 = 3,744.10 : x
  2. Step 2: Convert to fraction form
    6,263.74/8,641.74 = 3,744.10/x
  3. Step 3: Cross multiply
    6,263.74x = 8,641.74 × 3,744.10
  4. Step 4: Simplify right side
    6,263.74x = 32,355,538.73
  5. Step 5: Solve for x
    x = 32,355,538.73/6,263.74
  6. Step 6: Final answer
    x = 5,165.53

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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.