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Finding the Fourth Proportional to 10,034.42, 13,847.73 and 5,841.14

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Solution

The fourth proportional to 10,034.42, 13,847.73 and 5,841.14 is: 8,060.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.42 : 13,847.73 = 5,841.14 : x
  2. Step 2: Convert to fraction form
    10,034.42/13,847.73 = 5,841.14/x
  3. Step 3: Cross multiply
    10,034.42x = 13,847.73 × 5,841.14
  4. Step 4: Simplify right side
    10,034.42x = 80,886,529.61
  5. Step 5: Solve for x
    x = 80,886,529.61/10,034.42
  6. Step 6: Final answer
    x = 8,060.91

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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.