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Finding the Fourth Proportional to 8,374.46, 11,549.22 and 6,255.12

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Solution

The fourth proportional to 8,374.46, 11,549.22 and 6,255.12 is: 8,626.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.46 : 11,549.22 = 6,255.12 : x
  2. Step 2: Convert to fraction form
    8,374.46/11,549.22 = 6,255.12/x
  3. Step 3: Cross multiply
    8,374.46x = 11,549.22 × 6,255.12
  4. Step 4: Simplify right side
    8,374.46x = 72,241,776.86
  5. Step 5: Solve for x
    x = 72,241,776.86/8,374.46
  6. Step 6: Final answer
    x = 8,626.45

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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.