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Finding the Fourth Proportional to 10,035.16, 13,847.97 and 5,558.83

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Solution

The fourth proportional to 10,035.16, 13,847.97 and 5,558.83 is: 7,670.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.16 : 13,847.97 = 5,558.83 : x
  2. Step 2: Convert to fraction form
    10,035.16/13,847.97 = 5,558.83/x
  3. Step 3: Cross multiply
    10,035.16x = 13,847.97 × 5,558.83
  4. Step 4: Simplify right side
    10,035.16x = 76,978,511.08
  5. Step 5: Solve for x
    x = 76,978,511.08/10,035.16
  6. Step 6: Final answer
    x = 7,670.88

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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.