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Finding the Fourth Proportional to 10,105.08, 13,946.88 and 5,858.88

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Solution

The fourth proportional to 10,105.08, 13,946.88 and 5,858.88 is: 8,086.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.08 : 13,946.88 = 5,858.88 : x
  2. Step 2: Convert to fraction form
    10,105.08/13,946.88 = 5,858.88/x
  3. Step 3: Cross multiply
    10,105.08x = 13,946.88 × 5,858.88
  4. Step 4: Simplify right side
    10,105.08x = 81,713,096.29
  5. Step 5: Solve for x
    x = 81,713,096.29/10,105.08
  6. Step 6: Final answer
    x = 8,086.34

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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.