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Finding the Fourth Proportional to 10,034.62, 13,850.88 and 5,788.54

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Solution

The fourth proportional to 10,034.62, 13,850.88 and 5,788.54 is: 7,989.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.62 : 13,850.88 = 5,788.54 : x
  2. Step 2: Convert to fraction form
    10,034.62/13,850.88 = 5,788.54/x
  3. Step 3: Cross multiply
    10,034.62x = 13,850.88 × 5,788.54
  4. Step 4: Simplify right side
    10,034.62x = 80,176,372.92
  5. Step 5: Solve for x
    x = 80,176,372.92/10,034.62
  6. Step 6: Final answer
    x = 7,989.98

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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.