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Finding the Fourth Proportional to 10,034.66, 13,847.82 and 5,558.42

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Solution

The fourth proportional to 10,034.66, 13,847.82 and 5,558.42 is: 7,670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.66 : 13,847.82 = 5,558.42 : x
  2. Step 2: Convert to fraction form
    10,034.66/13,847.82 = 5,558.42/x
  3. Step 3: Cross multiply
    10,034.66x = 13,847.82 × 5,558.42
  4. Step 4: Simplify right side
    10,034.66x = 76,971,999.64
  5. Step 5: Solve for x
    x = 76,971,999.64/10,034.66
  6. Step 6: Final answer
    x = 7,670.61

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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.