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Finding the Fourth Proportional to 8,125.53, 11,213.64 and 4,768.49

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Solution

The fourth proportional to 8,125.53, 11,213.64 and 4,768.49 is: 6,580.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.53 : 11,213.64 = 4,768.49 : x
  2. Step 2: Convert to fraction form
    8,125.53/11,213.64 = 4,768.49/x
  3. Step 3: Cross multiply
    8,125.53x = 11,213.64 × 4,768.49
  4. Step 4: Simplify right side
    8,125.53x = 53,472,074.14
  5. Step 5: Solve for x
    x = 53,472,074.14/8,125.53
  6. Step 6: Final answer
    x = 6,580.75

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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.