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Finding the Fourth Proportional to 7,674.57, 10,588.34 and 6,255.81

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Solution

The fourth proportional to 7,674.57, 10,588.34 and 6,255.81 is: 8,630.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.57 : 10,588.34 = 6,255.81 : x
  2. Step 2: Convert to fraction form
    7,674.57/10,588.34 = 6,255.81/x
  3. Step 3: Cross multiply
    7,674.57x = 10,588.34 × 6,255.81
  4. Step 4: Simplify right side
    7,674.57x = 66,238,611.98
  5. Step 5: Solve for x
    x = 66,238,611.98/7,674.57
  6. Step 6: Final answer
    x = 8,630.92

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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.