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Finding the Fourth Proportional to 8,378.40, 11,558.97 and 4,792.63

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Solution

The fourth proportional to 8,378.40, 11,558.97 and 4,792.63 is: 6,611.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.40 : 11,558.97 = 4,792.63 : x
  2. Step 2: Convert to fraction form
    8,378.40/11,558.97 = 4,792.63/x
  3. Step 3: Cross multiply
    8,378.40x = 11,558.97 × 4,792.63
  4. Step 4: Simplify right side
    8,378.40x = 55,397,784.63
  5. Step 5: Solve for x
    x = 55,397,784.63/8,378.40
  6. Step 6: Final answer
    x = 6,611.98

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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.